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Finding the Third Proportional to 613,614 and 861,372

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Solution

The third proportional to 613,614 and 861,372 is: 1,209,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,614 : 861,372 = 861,372 : x
  2. Step 2: Convert to fraction form
    613,614/861,372 = 861,372/x
  3. Step 3: Cross multiply
    613,614x = 861,372 × 861,372
  4. Step 4: Simplify right side
    613,614x = 741,961,722,384
  5. Step 5: Solve for x
    x = 741,961,722,384/613,614
  6. Step 6: Final answer
    x = 1,209,166.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.