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Finding the Third Proportional to 871,414.88 and 1,320,163.31

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Solution

The third proportional to 871,414.88 and 1,320,163.31 is: 2,000,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,414.88 : 1,320,163.31 = 1,320,163.31 : x
  2. Step 2: Convert to fraction form
    871,414.88/1,320,163.31 = 1,320,163.31/x
  3. Step 3: Cross multiply
    871,414.88x = 1,320,163.31 × 1,320,163.31
  4. Step 4: Simplify right side
    871,414.88x = 1,742,831,171,670.97
  5. Step 5: Solve for x
    x = 1,742,831,171,670.97/871,414.88
  6. Step 6: Final answer
    x = 2,000,001.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.