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Finding the Third Proportional to 516,195 and 1,131,525

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Solution

The third proportional to 516,195 and 1,131,525 is: 2,480,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,195 : 1,131,525 = 1,131,525 : x
  2. Step 2: Convert to fraction form
    516,195/1,131,525 = 1,131,525/x
  3. Step 3: Cross multiply
    516,195x = 1,131,525 × 1,131,525
  4. Step 4: Simplify right side
    516,195x = 1,280,348,825,625
  5. Step 5: Solve for x
    x = 1,280,348,825,625/516,195
  6. Step 6: Final answer
    x = 2,480,358.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.