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Finding the Third Proportional to 1,952,572.50 and 4,204,872

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Solution

The third proportional to 1,952,572.50 and 4,204,872 is: 9,055,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,572.50 : 4,204,872 = 4,204,872 : x
  2. Step 2: Convert to fraction form
    1,952,572.50/4,204,872 = 4,204,872/x
  3. Step 3: Cross multiply
    1,952,572.50x = 4,204,872 × 4,204,872
  4. Step 4: Simplify right side
    1,952,572.50x = 17,680,948,536,384
  5. Step 5: Solve for x
    x = 17,680,948,536,384/1,952,572.50
  6. Step 6: Final answer
    x = 9,055,207.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.