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Finding the Third Proportional to 961,787.25 and 1,500,909.75

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Solution

The third proportional to 961,787.25 and 1,500,909.75 is: 2,342,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,787.25 : 1,500,909.75 = 1,500,909.75 : x
  2. Step 2: Convert to fraction form
    961,787.25/1,500,909.75 = 1,500,909.75/x
  3. Step 3: Cross multiply
    961,787.25x = 1,500,909.75 × 1,500,909.75
  4. Step 4: Simplify right side
    961,787.25x = 2,252,730,077,645.06
  5. Step 5: Solve for x
    x = 2,252,730,077,645.06/961,787.25
  6. Step 6: Final answer
    x = 2,342,233.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.