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Finding the Third Proportional to 752,920 and 1,131,060

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Solution

The third proportional to 752,920 and 1,131,060 is: 1,699,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,920 : 1,131,060 = 1,131,060 : x
  2. Step 2: Convert to fraction form
    752,920/1,131,060 = 1,131,060/x
  3. Step 3: Cross multiply
    752,920x = 1,131,060 × 1,131,060
  4. Step 4: Simplify right side
    752,920x = 1,279,296,723,600
  5. Step 5: Solve for x
    x = 1,279,296,723,600/752,920
  6. Step 6: Final answer
    x = 1,699,113.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.