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Finding the Third Proportional to 3,785,209.50 and 5,676,422.25

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Solution

The third proportional to 3,785,209.50 and 5,676,422.25 is: 8,512,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,209.50 : 5,676,422.25 = 5,676,422.25 : x
  2. Step 2: Convert to fraction form
    3,785,209.50/5,676,422.25 = 5,676,422.25/x
  3. Step 3: Cross multiply
    3,785,209.50x = 5,676,422.25 × 5,676,422.25
  4. Step 4: Simplify right side
    3,785,209.50x = 32,221,769,560,295.06
  5. Step 5: Solve for x
    x = 32,221,769,560,295.06/3,785,209.50
  6. Step 6: Final answer
    x = 8,512,545.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.