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Finding the Third Proportional to 732,799 and 1,165,691

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Solution

The third proportional to 732,799 and 1,165,691 is: 1,854,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,799 : 1,165,691 = 1,165,691 : x
  2. Step 2: Convert to fraction form
    732,799/1,165,691 = 1,165,691/x
  3. Step 3: Cross multiply
    732,799x = 1,165,691 × 1,165,691
  4. Step 4: Simplify right side
    732,799x = 1,358,835,507,481
  5. Step 5: Solve for x
    x = 1,358,835,507,481/732,799
  6. Step 6: Final answer
    x = 1,854,308.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.