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Finding the Third Proportional to 516,680 and 1,135,204

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Solution

The third proportional to 516,680 and 1,135,204 is: 2,494,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,680 : 1,135,204 = 1,135,204 : x
  2. Step 2: Convert to fraction form
    516,680/1,135,204 = 1,135,204/x
  3. Step 3: Cross multiply
    516,680x = 1,135,204 × 1,135,204
  4. Step 4: Simplify right side
    516,680x = 1,288,688,121,616
  5. Step 5: Solve for x
    x = 1,288,688,121,616/516,680
  6. Step 6: Final answer
    x = 2,494,170.71

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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.