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Finding the Third Proportional to 634,794 and 861,156

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Solution

The third proportional to 634,794 and 861,156 is: 1,168,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,794 : 861,156 = 861,156 : x
  2. Step 2: Convert to fraction form
    634,794/861,156 = 861,156/x
  3. Step 3: Cross multiply
    634,794x = 861,156 × 861,156
  4. Step 4: Simplify right side
    634,794x = 741,589,656,336
  5. Step 5: Solve for x
    x = 741,589,656,336/634,794
  6. Step 6: Final answer
    x = 1,168,236.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.