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Finding the Third Proportional to 407,532 and 885,066

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Solution

The third proportional to 407,532 and 885,066 is: 1,922,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,532 : 885,066 = 885,066 : x
  2. Step 2: Convert to fraction form
    407,532/885,066 = 885,066/x
  3. Step 3: Cross multiply
    407,532x = 885,066 × 885,066
  4. Step 4: Simplify right side
    407,532x = 783,341,824,356
  5. Step 5: Solve for x
    x = 783,341,824,356/407,532
  6. Step 6: Final answer
    x = 1,922,160.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.