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Finding the Third Proportional to 851,500 and 1,419,108

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Solution

The third proportional to 851,500 and 1,419,108 is: 2,365,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,500 : 1,419,108 = 1,419,108 : x
  2. Step 2: Convert to fraction form
    851,500/1,419,108 = 1,419,108/x
  3. Step 3: Cross multiply
    851,500x = 1,419,108 × 1,419,108
  4. Step 4: Simplify right side
    851,500x = 2,013,867,515,664
  5. Step 5: Solve for x
    x = 2,013,867,515,664/851,500
  6. Step 6: Final answer
    x = 2,365,082.23

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.