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Finding the Third Proportional to 1,067,342.25 and 1,650,889.88

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Solution

The third proportional to 1,067,342.25 and 1,650,889.88 is: 2,553,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,342.25 : 1,650,889.88 = 1,650,889.88 : x
  2. Step 2: Convert to fraction form
    1,067,342.25/1,650,889.88 = 1,650,889.88/x
  3. Step 3: Cross multiply
    1,067,342.25x = 1,650,889.88 × 1,650,889.88
  4. Step 4: Simplify right side
    1,067,342.25x = 2,725,437,379,377.52
  5. Step 5: Solve for x
    x = 2,725,437,379,377.52/1,067,342.25
  6. Step 6: Final answer
    x = 2,553,480.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.