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Finding the Third Proportional to 1,257,732 and 1,777,977

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Solution

The third proportional to 1,257,732 and 1,777,977 is: 2,513,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,732 : 1,777,977 = 1,777,977 : x
  2. Step 2: Convert to fraction form
    1,257,732/1,777,977 = 1,777,977/x
  3. Step 3: Cross multiply
    1,257,732x = 1,777,977 × 1,777,977
  4. Step 4: Simplify right side
    1,257,732x = 3,161,202,212,529
  5. Step 5: Solve for x
    x = 3,161,202,212,529/1,257,732
  6. Step 6: Final answer
    x = 2,513,414.79

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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.