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Finding the Third Proportional to 457,074 and 1,057,977

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Solution

The third proportional to 457,074 and 1,057,977 is: 2,448,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,074 : 1,057,977 = 1,057,977 : x
  2. Step 2: Convert to fraction form
    457,074/1,057,977 = 1,057,977/x
  3. Step 3: Cross multiply
    457,074x = 1,057,977 × 1,057,977
  4. Step 4: Simplify right side
    457,074x = 1,119,315,332,529
  5. Step 5: Solve for x
    x = 1,119,315,332,529/457,074
  6. Step 6: Final answer
    x = 2,448,871.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.