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Finding the Third Proportional to 752,334 and 1,152,117

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Solution

The third proportional to 752,334 and 1,152,117 is: 1,764,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,334 : 1,152,117 = 1,152,117 : x
  2. Step 2: Convert to fraction form
    752,334/1,152,117 = 1,152,117/x
  3. Step 3: Cross multiply
    752,334x = 1,152,117 × 1,152,117
  4. Step 4: Simplify right side
    752,334x = 1,327,373,581,689
  5. Step 5: Solve for x
    x = 1,327,373,581,689/752,334
  6. Step 6: Final answer
    x = 1,764,340.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.