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Finding the Third Proportional to 836,067 and 1,163,325

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Solution

The third proportional to 836,067 and 1,163,325 is: 1,618,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,067 : 1,163,325 = 1,163,325 : x
  2. Step 2: Convert to fraction form
    836,067/1,163,325 = 1,163,325/x
  3. Step 3: Cross multiply
    836,067x = 1,163,325 × 1,163,325
  4. Step 4: Simplify right side
    836,067x = 1,353,325,055,625
  5. Step 5: Solve for x
    x = 1,353,325,055,625/836,067
  6. Step 6: Final answer
    x = 1,618,680.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.