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Finding the Third Proportional to 752,601 and 1,608,234

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Solution

The third proportional to 752,601 and 1,608,234 is: 3,436,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,601 : 1,608,234 = 1,608,234 : x
  2. Step 2: Convert to fraction form
    752,601/1,608,234 = 1,608,234/x
  3. Step 3: Cross multiply
    752,601x = 1,608,234 × 1,608,234
  4. Step 4: Simplify right side
    752,601x = 2,586,416,598,756
  5. Step 5: Solve for x
    x = 2,586,416,598,756/752,601
  6. Step 6: Final answer
    x = 3,436,637.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.