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Finding the Third Proportional to 394,517 and 851,983

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Solution

The third proportional to 394,517 and 851,983 is: 1,839,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,517 : 851,983 = 851,983 : x
  2. Step 2: Convert to fraction form
    394,517/851,983 = 851,983/x
  3. Step 3: Cross multiply
    394,517x = 851,983 × 851,983
  4. Step 4: Simplify right side
    394,517x = 725,875,032,289
  5. Step 5: Solve for x
    x = 725,875,032,289/394,517
  6. Step 6: Final answer
    x = 1,839,908.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.