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Finding the Third Proportional to 516,042 and 1,214,199

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Solution

The third proportional to 516,042 and 1,214,199 is: 2,856,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,042 : 1,214,199 = 1,214,199 : x
  2. Step 2: Convert to fraction form
    516,042/1,214,199 = 1,214,199/x
  3. Step 3: Cross multiply
    516,042x = 1,214,199 × 1,214,199
  4. Step 4: Simplify right side
    516,042x = 1,474,279,211,601
  5. Step 5: Solve for x
    x = 1,474,279,211,601/516,042
  6. Step 6: Final answer
    x = 2,856,897.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.