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Finding the Third Proportional to 648,366 and 1,041,744

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Solution

The third proportional to 648,366 and 1,041,744 is: 1,673,793.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,366 : 1,041,744 = 1,041,744 : x
  2. Step 2: Convert to fraction form
    648,366/1,041,744 = 1,041,744/x
  3. Step 3: Cross multiply
    648,366x = 1,041,744 × 1,041,744
  4. Step 4: Simplify right side
    648,366x = 1,085,230,561,536
  5. Step 5: Solve for x
    x = 1,085,230,561,536/648,366
  6. Step 6: Final answer
    x = 1,673,793.14

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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.