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Finding the Third Proportional to 800,571 and 1,743,285

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Solution

The third proportional to 800,571 and 1,743,285 is: 3,796,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,571 : 1,743,285 = 1,743,285 : x
  2. Step 2: Convert to fraction form
    800,571/1,743,285 = 1,743,285/x
  3. Step 3: Cross multiply
    800,571x = 1,743,285 × 1,743,285
  4. Step 4: Simplify right side
    800,571x = 3,039,042,591,225
  5. Step 5: Solve for x
    x = 3,039,042,591,225/800,571
  6. Step 6: Final answer
    x = 3,796,093.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.