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Finding the Third Proportional to 477,206 and 987,629

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Solution

The third proportional to 477,206 and 987,629 is: 2,044,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,206 : 987,629 = 987,629 : x
  2. Step 2: Convert to fraction form
    477,206/987,629 = 987,629/x
  3. Step 3: Cross multiply
    477,206x = 987,629 × 987,629
  4. Step 4: Simplify right side
    477,206x = 975,411,041,641
  5. Step 5: Solve for x
    x = 975,411,041,641/477,206
  6. Step 6: Final answer
    x = 2,044,004.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.