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Finding the Third Proportional to 1,231,868.25 and 1,647,793.13

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Solution

The third proportional to 1,231,868.25 and 1,647,793.13 is: 2,204,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,868.25 : 1,647,793.13 = 1,647,793.13 : x
  2. Step 2: Convert to fraction form
    1,231,868.25/1,647,793.13 = 1,647,793.13/x
  3. Step 3: Cross multiply
    1,231,868.25x = 1,647,793.13 × 1,647,793.13
  4. Step 4: Simplify right side
    1,231,868.25x = 2,715,222,182,797.27
  5. Step 5: Solve for x
    x = 2,715,222,182,797.27/1,231,868.25
  6. Step 6: Final answer
    x = 2,204,149.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.