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Finding the Third Proportional to 729,831 and 1,162,203

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Solution

The third proportional to 729,831 and 1,162,203 is: 1,850,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,831 : 1,162,203 = 1,162,203 : x
  2. Step 2: Convert to fraction form
    729,831/1,162,203 = 1,162,203/x
  3. Step 3: Cross multiply
    729,831x = 1,162,203 × 1,162,203
  4. Step 4: Simplify right side
    729,831x = 1,350,715,813,209
  5. Step 5: Solve for x
    x = 1,350,715,813,209/729,831
  6. Step 6: Final answer
    x = 1,850,724.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.