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Finding the Third Proportional to 683,571 and 1,472,325

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Solution

The third proportional to 683,571 and 1,472,325 is: 3,171,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,571 : 1,472,325 = 1,472,325 : x
  2. Step 2: Convert to fraction form
    683,571/1,472,325 = 1,472,325/x
  3. Step 3: Cross multiply
    683,571x = 1,472,325 × 1,472,325
  4. Step 4: Simplify right side
    683,571x = 2,167,740,905,625
  5. Step 5: Solve for x
    x = 2,167,740,905,625/683,571
  6. Step 6: Final answer
    x = 3,171,200.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.