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Finding the Third Proportional to 624,195 and 914,067

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Solution

The third proportional to 624,195 and 914,067 is: 1,338,553.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,195 : 914,067 = 914,067 : x
  2. Step 2: Convert to fraction form
    624,195/914,067 = 914,067/x
  3. Step 3: Cross multiply
    624,195x = 914,067 × 914,067
  4. Step 4: Simplify right side
    624,195x = 835,518,480,489
  5. Step 5: Solve for x
    x = 835,518,480,489/624,195
  6. Step 6: Final answer
    x = 1,338,553.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.