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Finding the Third Proportional to 681,185.25 and 1,605,744

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Solution

The third proportional to 681,185.25 and 1,605,744 is: 3,785,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,185.25 : 1,605,744 = 1,605,744 : x
  2. Step 2: Convert to fraction form
    681,185.25/1,605,744 = 1,605,744/x
  3. Step 3: Cross multiply
    681,185.25x = 1,605,744 × 1,605,744
  4. Step 4: Simplify right side
    681,185.25x = 2,578,413,793,536
  5. Step 5: Solve for x
    x = 2,578,413,793,536/681,185.25
  6. Step 6: Final answer
    x = 3,785,187.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.