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Finding the Third Proportional to 674,042 and 1,466,182

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Solution

The third proportional to 674,042 and 1,466,182 is: 3,189,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,042 : 1,466,182 = 1,466,182 : x
  2. Step 2: Convert to fraction form
    674,042/1,466,182 = 1,466,182/x
  3. Step 3: Cross multiply
    674,042x = 1,466,182 × 1,466,182
  4. Step 4: Simplify right side
    674,042x = 2,149,689,657,124
  5. Step 5: Solve for x
    x = 2,149,689,657,124/674,042
  6. Step 6: Final answer
    x = 3,189,251.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.