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Finding the Third Proportional to 1,198,697 and 2,131,143

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Solution

The third proportional to 1,198,697 and 2,131,143 is: 3,788,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,697 : 2,131,143 = 2,131,143 : x
  2. Step 2: Convert to fraction form
    1,198,697/2,131,143 = 2,131,143/x
  3. Step 3: Cross multiply
    1,198,697x = 2,131,143 × 2,131,143
  4. Step 4: Simplify right side
    1,198,697x = 4,541,770,486,449
  5. Step 5: Solve for x
    x = 4,541,770,486,449/1,198,697
  6. Step 6: Final answer
    x = 3,788,922.88

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.