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Finding the Third Proportional to 500,793 and 1,061,177

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Solution

The third proportional to 500,793 and 1,061,177 is: 2,248,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,793 : 1,061,177 = 1,061,177 : x
  2. Step 2: Convert to fraction form
    500,793/1,061,177 = 1,061,177/x
  3. Step 3: Cross multiply
    500,793x = 1,061,177 × 1,061,177
  4. Step 4: Simplify right side
    500,793x = 1,126,096,625,329
  5. Step 5: Solve for x
    x = 1,126,096,625,329/500,793
  6. Step 6: Final answer
    x = 2,248,626.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.