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Finding the Third Proportional to 343,847 and 746,811

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Solution

The third proportional to 343,847 and 746,811 is: 1,622,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,847 : 746,811 = 746,811 : x
  2. Step 2: Convert to fraction form
    343,847/746,811 = 746,811/x
  3. Step 3: Cross multiply
    343,847x = 746,811 × 746,811
  4. Step 4: Simplify right side
    343,847x = 557,726,669,721
  5. Step 5: Solve for x
    x = 557,726,669,721/343,847
  6. Step 6: Final answer
    x = 1,622,019.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.