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Finding the Third Proportional to 1,161,612 and 2,491,374

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Solution

The third proportional to 1,161,612 and 2,491,374 is: 5,343,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,612 : 2,491,374 = 2,491,374 : x
  2. Step 2: Convert to fraction form
    1,161,612/2,491,374 = 2,491,374/x
  3. Step 3: Cross multiply
    1,161,612x = 2,491,374 × 2,491,374
  4. Step 4: Simplify right side
    1,161,612x = 6,206,944,407,876
  5. Step 5: Solve for x
    x = 6,206,944,407,876/1,161,612
  6. Step 6: Final answer
    x = 5,343,388.68

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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.