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Finding the Third Proportional to 516,019 and 1,165,817

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Solution

The third proportional to 516,019 and 1,165,817 is: 2,633,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,019 : 1,165,817 = 1,165,817 : x
  2. Step 2: Convert to fraction form
    516,019/1,165,817 = 1,165,817/x
  3. Step 3: Cross multiply
    516,019x = 1,165,817 × 1,165,817
  4. Step 4: Simplify right side
    516,019x = 1,359,129,277,489
  5. Step 5: Solve for x
    x = 1,359,129,277,489/516,019
  6. Step 6: Final answer
    x = 2,633,874.48

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.