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Finding the Third Proportional to 752,571 and 1,609,875

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Solution

The third proportional to 752,571 and 1,609,875 is: 3,443,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,571 : 1,609,875 = 1,609,875 : x
  2. Step 2: Convert to fraction form
    752,571/1,609,875 = 1,609,875/x
  3. Step 3: Cross multiply
    752,571x = 1,609,875 × 1,609,875
  4. Step 4: Simplify right side
    752,571x = 2,591,697,515,625
  5. Step 5: Solve for x
    x = 2,591,697,515,625/752,571
  6. Step 6: Final answer
    x = 3,443,791.37

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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.