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Finding the Third Proportional to 1,257,542 and 1,777,692

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Solution

The third proportional to 1,257,542 and 1,777,692 is: 2,512,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,542 : 1,777,692 = 1,777,692 : x
  2. Step 2: Convert to fraction form
    1,257,542/1,777,692 = 1,777,692/x
  3. Step 3: Cross multiply
    1,257,542x = 1,777,692 × 1,777,692
  4. Step 4: Simplify right side
    1,257,542x = 3,160,188,846,864
  5. Step 5: Solve for x
    x = 3,160,188,846,864/1,257,542
  6. Step 6: Final answer
    x = 2,512,988.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.