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Finding the Third Proportional to 729,549 and 1,165,464

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Solution

The third proportional to 729,549 and 1,165,464 is: 1,861,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,549 : 1,165,464 = 1,165,464 : x
  2. Step 2: Convert to fraction form
    729,549/1,165,464 = 1,165,464/x
  3. Step 3: Cross multiply
    729,549x = 1,165,464 × 1,165,464
  4. Step 4: Simplify right side
    729,549x = 1,358,306,335,296
  5. Step 5: Solve for x
    x = 1,358,306,335,296/729,549
  6. Step 6: Final answer
    x = 1,861,843.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.