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Finding the Third Proportional to 752,693.77 and 1,211,947.31

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Solution

The third proportional to 752,693.77 and 1,211,947.31 is: 1,951,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,693.77 : 1,211,947.31 = 1,211,947.31 : x
  2. Step 2: Convert to fraction form
    752,693.77/1,211,947.31 = 1,211,947.31/x
  3. Step 3: Cross multiply
    752,693.77x = 1,211,947.31 × 1,211,947.31
  4. Step 4: Simplify right side
    752,693.77x = 1,468,816,288,275.97
  5. Step 5: Solve for x
    x = 1,468,816,288,275.97/752,693.77
  6. Step 6: Final answer
    x = 1,951,412.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.