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Finding the Third Proportional to 513,974 and 1,104,493

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Solution

The third proportional to 513,974 and 1,104,493 is: 2,373,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,974 : 1,104,493 = 1,104,493 : x
  2. Step 2: Convert to fraction form
    513,974/1,104,493 = 1,104,493/x
  3. Step 3: Cross multiply
    513,974x = 1,104,493 × 1,104,493
  4. Step 4: Simplify right side
    513,974x = 1,219,904,787,049
  5. Step 5: Solve for x
    x = 1,219,904,787,049/513,974
  6. Step 6: Final answer
    x = 2,373,475.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.