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Finding the Third Proportional to 517,794 and 1,156,116

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Solution

The third proportional to 517,794 and 1,156,116 is: 2,581,343.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,794 : 1,156,116 = 1,156,116 : x
  2. Step 2: Convert to fraction form
    517,794/1,156,116 = 1,156,116/x
  3. Step 3: Cross multiply
    517,794x = 1,156,116 × 1,156,116
  4. Step 4: Simplify right side
    517,794x = 1,336,604,205,456
  5. Step 5: Solve for x
    x = 1,336,604,205,456/517,794
  6. Step 6: Final answer
    x = 2,581,343.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.