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Finding the Third Proportional to 843,781 and 1,847,831

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Solution

The third proportional to 843,781 and 1,847,831 is: 4,046,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,781 : 1,847,831 = 1,847,831 : x
  2. Step 2: Convert to fraction form
    843,781/1,847,831 = 1,847,831/x
  3. Step 3: Cross multiply
    843,781x = 1,847,831 × 1,847,831
  4. Step 4: Simplify right side
    843,781x = 3,414,479,404,561
  5. Step 5: Solve for x
    x = 3,414,479,404,561/843,781
  6. Step 6: Final answer
    x = 4,046,641.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.