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Finding the Third Proportional to 900,616 and 1,380,876

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Solution

The third proportional to 900,616 and 1,380,876 is: 2,117,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,616 : 1,380,876 = 1,380,876 : x
  2. Step 2: Convert to fraction form
    900,616/1,380,876 = 1,380,876/x
  3. Step 3: Cross multiply
    900,616x = 1,380,876 × 1,380,876
  4. Step 4: Simplify right side
    900,616x = 1,906,818,527,376
  5. Step 5: Solve for x
    x = 1,906,818,527,376/900,616
  6. Step 6: Final answer
    x = 2,117,238.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.