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Finding the Third Proportional to 730,644 and 1,691,472

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Solution

The third proportional to 730,644 and 1,691,472 is: 3,915,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,644 : 1,691,472 = 1,691,472 : x
  2. Step 2: Convert to fraction form
    730,644/1,691,472 = 1,691,472/x
  3. Step 3: Cross multiply
    730,644x = 1,691,472 × 1,691,472
  4. Step 4: Simplify right side
    730,644x = 2,861,077,526,784
  5. Step 5: Solve for x
    x = 2,861,077,526,784/730,644
  6. Step 6: Final answer
    x = 3,915,829.77

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.