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Finding the Third Proportional to 726,562.41 and 1,591,179.19

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Solution

The third proportional to 726,562.41 and 1,591,179.19 is: 3,484,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,562.41 : 1,591,179.19 = 1,591,179.19 : x
  2. Step 2: Convert to fraction form
    726,562.41/1,591,179.19 = 1,591,179.19/x
  3. Step 3: Cross multiply
    726,562.41x = 1,591,179.19 × 1,591,179.19
  4. Step 4: Simplify right side
    726,562.41x = 2,531,851,206,733.16
  5. Step 5: Solve for x
    x = 2,531,851,206,733.16/726,562.41
  6. Step 6: Final answer
    x = 3,484,698.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.