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Finding the Third Proportional to 871,728 and 1,847,325

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Solution

The third proportional to 871,728 and 1,847,325 is: 3,914,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,728 : 1,847,325 = 1,847,325 : x
  2. Step 2: Convert to fraction form
    871,728/1,847,325 = 1,847,325/x
  3. Step 3: Cross multiply
    871,728x = 1,847,325 × 1,847,325
  4. Step 4: Simplify right side
    871,728x = 3,412,609,655,625
  5. Step 5: Solve for x
    x = 3,412,609,655,625/871,728
  6. Step 6: Final answer
    x = 3,914,764.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.