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Finding the Third Proportional to 516,160 and 1,079,624

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Solution

The third proportional to 516,160 and 1,079,624 is: 2,258,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,160 : 1,079,624 = 1,079,624 : x
  2. Step 2: Convert to fraction form
    516,160/1,079,624 = 1,079,624/x
  3. Step 3: Cross multiply
    516,160x = 1,079,624 × 1,079,624
  4. Step 4: Simplify right side
    516,160x = 1,165,587,981,376
  5. Step 5: Solve for x
    x = 1,165,587,981,376/516,160
  6. Step 6: Final answer
    x = 2,258,191.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.