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Finding the Third Proportional to 729,387.28 and 1,171,930.15

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Solution

The third proportional to 729,387.28 and 1,171,930.15 is: 1,882,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,387.28 : 1,171,930.15 = 1,171,930.15 : x
  2. Step 2: Convert to fraction form
    729,387.28/1,171,930.15 = 1,171,930.15/x
  3. Step 3: Cross multiply
    729,387.28x = 1,171,930.15 × 1,171,930.15
  4. Step 4: Simplify right side
    729,387.28x = 1,373,420,272,816.74
  5. Step 5: Solve for x
    x = 1,373,420,272,816.74/729,387.28
  6. Step 6: Final answer
    x = 1,882,978.09

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.