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Finding the Third Proportional to 465,612 and 1,016,517

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Solution

The third proportional to 465,612 and 1,016,517 is: 2,219,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,612 : 1,016,517 = 1,016,517 : x
  2. Step 2: Convert to fraction form
    465,612/1,016,517 = 1,016,517/x
  3. Step 3: Cross multiply
    465,612x = 1,016,517 × 1,016,517
  4. Step 4: Simplify right side
    465,612x = 1,033,306,811,289
  5. Step 5: Solve for x
    x = 1,033,306,811,289/465,612
  6. Step 6: Final answer
    x = 2,219,244.37

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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.