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Finding the Third Proportional to 516,720 and 1,108,182

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Solution

The third proportional to 516,720 and 1,108,182 is: 2,376,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,720 : 1,108,182 = 1,108,182 : x
  2. Step 2: Convert to fraction form
    516,720/1,108,182 = 1,108,182/x
  3. Step 3: Cross multiply
    516,720x = 1,108,182 × 1,108,182
  4. Step 4: Simplify right side
    516,720x = 1,228,067,345,124
  5. Step 5: Solve for x
    x = 1,228,067,345,124/516,720
  6. Step 6: Final answer
    x = 2,376,659.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.