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Finding the Third Proportional to 652,461.33 and 1,432,581.19

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Solution

The third proportional to 652,461.33 and 1,432,581.19 is: 3,145,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,461.33 : 1,432,581.19 = 1,432,581.19 : x
  2. Step 2: Convert to fraction form
    652,461.33/1,432,581.19 = 1,432,581.19/x
  3. Step 3: Cross multiply
    652,461.33x = 1,432,581.19 × 1,432,581.19
  4. Step 4: Simplify right side
    652,461.33x = 2,052,288,858,778.91
  5. Step 5: Solve for x
    x = 2,052,288,858,778.91/652,461.33
  6. Step 6: Final answer
    x = 3,145,456.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.