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Finding the Third Proportional to 516,220 and 1,132,151

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Solution

The third proportional to 516,220 and 1,132,151 is: 2,482,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,220 : 1,132,151 = 1,132,151 : x
  2. Step 2: Convert to fraction form
    516,220/1,132,151 = 1,132,151/x
  3. Step 3: Cross multiply
    516,220x = 1,132,151 × 1,132,151
  4. Step 4: Simplify right side
    516,220x = 1,281,765,886,801
  5. Step 5: Solve for x
    x = 1,281,765,886,801/516,220
  6. Step 6: Final answer
    x = 2,482,983.78

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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.