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Finding the Third Proportional to 871,427 and 1,876,342

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Solution

The third proportional to 871,427 and 1,876,342 is: 4,040,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,427 : 1,876,342 = 1,876,342 : x
  2. Step 2: Convert to fraction form
    871,427/1,876,342 = 1,876,342/x
  3. Step 3: Cross multiply
    871,427x = 1,876,342 × 1,876,342
  4. Step 4: Simplify right side
    871,427x = 3,520,659,300,964
  5. Step 5: Solve for x
    x = 3,520,659,300,964/871,427
  6. Step 6: Final answer
    x = 4,040,108.12

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