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Finding the Third Proportional to 588,475.13 and 1,247,572.13

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Solution

The third proportional to 588,475.13 and 1,247,572.13 is: 2,644,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,475.13 : 1,247,572.13 = 1,247,572.13 : x
  2. Step 2: Convert to fraction form
    588,475.13/1,247,572.13 = 1,247,572.13/x
  3. Step 3: Cross multiply
    588,475.13x = 1,247,572.13 × 1,247,572.13
  4. Step 4: Simplify right side
    588,475.13x = 1,556,436,207,077.02
  5. Step 5: Solve for x
    x = 1,556,436,207,077.02/588,475.13
  6. Step 6: Final answer
    x = 2,644,863.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.