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Finding the Third Proportional to 671,502 and 1,442,394

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Solution

The third proportional to 671,502 and 1,442,394 is: 3,098,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,502 : 1,442,394 = 1,442,394 : x
  2. Step 2: Convert to fraction form
    671,502/1,442,394 = 1,442,394/x
  3. Step 3: Cross multiply
    671,502x = 1,442,394 × 1,442,394
  4. Step 4: Simplify right side
    671,502x = 2,080,500,451,236
  5. Step 5: Solve for x
    x = 2,080,500,451,236/671,502
  6. Step 6: Final answer
    x = 3,098,278.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.