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Finding the Third Proportional to 641,378.25 and 1,382,177.25

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Solution

The third proportional to 641,378.25 and 1,382,177.25 is: 2,978,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,378.25 : 1,382,177.25 = 1,382,177.25 : x
  2. Step 2: Convert to fraction form
    641,378.25/1,382,177.25 = 1,382,177.25/x
  3. Step 3: Cross multiply
    641,378.25x = 1,382,177.25 × 1,382,177.25
  4. Step 4: Simplify right side
    641,378.25x = 1,910,413,950,417.56
  5. Step 5: Solve for x
    x = 1,910,413,950,417.56/641,378.25
  6. Step 6: Final answer
    x = 2,978,607.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.