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Finding the Third Proportional to 418,351 and 861,459

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Solution

The third proportional to 418,351 and 861,459 is: 1,773,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,351 : 861,459 = 861,459 : x
  2. Step 2: Convert to fraction form
    418,351/861,459 = 861,459/x
  3. Step 3: Cross multiply
    418,351x = 861,459 × 861,459
  4. Step 4: Simplify right side
    418,351x = 742,111,608,681
  5. Step 5: Solve for x
    x = 742,111,608,681/418,351
  6. Step 6: Final answer
    x = 1,773,897.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.