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Finding the Third Proportional to 801,831 and 1,198,818

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Solution

The third proportional to 801,831 and 1,198,818 is: 1,792,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,831 : 1,198,818 = 1,198,818 : x
  2. Step 2: Convert to fraction form
    801,831/1,198,818 = 1,198,818/x
  3. Step 3: Cross multiply
    801,831x = 1,198,818 × 1,198,818
  4. Step 4: Simplify right side
    801,831x = 1,437,164,597,124
  5. Step 5: Solve for x
    x = 1,437,164,597,124/801,831
  6. Step 6: Final answer
    x = 1,792,353.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.