The old saying is true -- the rich do get richer. As long as you manage your money well, it's far easier to make money if you've got some socked away than it is to start from scratch. The reason is simple: compounding.

When you've got money working on your behalf, each percentage point of return simply adds that many more dollars to your account balances. After all, if a stock you own goes up in value, it's far better to own 10,000 shares than 100.

Start small
Fortunately, anyone with even a little cash to invest can take advantage of the power of compounding. It just takes a little longer to reach the point where compounding works its magic.

Here are a few charts that showcase how many years it takes to reach each $1 million threshold, given regular investments earning a decent rate of return.

To go from $0 to $1 million:

Monthly
Contribution

8% Return

9% Return

10% Return

11% Return

$100

52.9 years

48.3 years

44.5 years

41.4 years

$250

41.6

38.3

35.5

33.1

$500

33.4

30.9

28.8

27.0

$1,000

25.5

23.9

22.4

21.2

$1,291.66

22.8

21.4

20.2

19.1

To go from $1 million to $2 million:

Monthly
Contribution

8% Return

9% Return

10% Return

11% Return

$100

8.6 years

7.7 years

6.9 years

6.3 years

$250

8.5

7.5

6.8

6.2

$500

8.2

7.4

6.7

6.1

$1,000

7.8

7.1

6.4

5.9

$1,291.66

7.6

6.9

6.3

5.7

To go from $2 million to $3 million:

Monthly
Contribution

8% Return

9% Return

10% Return

11% Return

$100

5.1 years

4.5 years

4.1 years

3.7 years

$250

5.0

4.5

4.0

3.7

$500

4.9

4.4

4.0

3.6

$1,000

4.8

4.3

3.9

3.5

$1,291.66

4.7

4.2

3.8

3.5

That $1,291.66 didn't come out of thin air -- it is the current maximum for monthly contributions available in a 401(k) or 403(b) account for most people. These charts mean that you can go from $0 to $3 million in as few as 28 years, if you have the determination to take advantage of the opportunities. Most of that time is spent getting to your first million. Once you hit that milestone, compounding really takes over to help you reach your ultimate goal.

Get from here to there
Starting is the hardest part. After all, if you're not saving money now, going from $0 to nearly $1,300 a month may seem impossible. No matter how much you can set aside now, any little bit puts you on that path to your first $1 million -- and beyond. Fortunately, you can get major assistance in your quest to invest for your golden years.

For instance, money you contribute to your traditional 401(k) or 403(b) plan will most likely come with an immediate tax reduction. Thanks to that tax break, it's as if Uncle Sam were kicking in a significant chunk on your behalf, reducing the total out-of-pocket cost of your contribution. For folks in the 25% tax bracket, that works out to an out-of-pocket cost of only $75 per $100 of contributions -- a significant savings. A matching contribution from your employer knocks down the costs even further.

You really can get rich
Once you start investing, though, the rest is largely a matter of owning solid companies and letting compounding work its magic. Over the past 20 years, for instance, the following companies have all produced solid returns:

Company

Price on
12/31/1987

Price on
12/31/2007

Dividends/
Spin-offs

Annualized
Return

Dominion Resources

$6.19

$47.45

$24.99

13.1%

Halliburton (NYSE: HAL)

$4.64

$39.71

$5.15

12.0%

Wells Fargo (NYSE: WFC)

$1.54

$30.19

$8.86

17.5%

Lennar (NYSE: LEN)

$2.77

$17.89

$18.19

13.7%

Wyeth (NYSE: WYE)

$9.03

$44.19

$15.94

9.9%

Wal-Mart (NYSE: WMT)

$3.25

$47.53

$4.87

14.9%

J.C. Penney (NYSE: JCP)

$13.11

$43.99

$24.85

8.6%

All values split-adjusted.

Those solid returns came from companies that were already fairly well known, even 20 years ago. Better yet, owners of those stocks earned those returns despite short-term problems, such as the credit crunch currently affecting lenders such as Wells Fargo, or the housing meltdown tripping up Lennar. You don't have to buy perfect companies to receive solid returns and build your retirement nest egg over time. Simply freeing up the cash to make those regular investments matters most. 

The two most important parts of reaching -- and passing -- your first $1 million in investments are time and regular contributions. If you're ready to put yourself on the path to retirement riches, join us at Motley Fool Rule Your Retirement. You can take the next 30 days to look around the service, free. Once you've set the plan in motion to take you from here to retired, your future self will thank you for it.

This article was first published July 16, 2007. It has been updated.

Fool contributor Chuck Saletta is diligently working on reaching his first $1 million. At the time of publication, Chuck owned class B shares of Lennar. Wal-Mart is a Motley Fool Inside Value recommendation. The Fool has a disclosure policy.