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Finding the Third Proportional to 752,769 and 1,654,389

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Solution

The third proportional to 752,769 and 1,654,389 is: 3,635,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,769 : 1,654,389 = 1,654,389 : x
  2. Step 2: Convert to fraction form
    752,769/1,654,389 = 1,654,389/x
  3. Step 3: Cross multiply
    752,769x = 1,654,389 × 1,654,389
  4. Step 4: Simplify right side
    752,769x = 2,737,002,963,321
  5. Step 5: Solve for x
    x = 2,737,002,963,321/752,769
  6. Step 6: Final answer
    x = 3,635,913.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.