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Finding the Third Proportional to 815,231 and 1,770,934

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Solution

The third proportional to 815,231 and 1,770,934 is: 3,847,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,231 : 1,770,934 = 1,770,934 : x
  2. Step 2: Convert to fraction form
    815,231/1,770,934 = 1,770,934/x
  3. Step 3: Cross multiply
    815,231x = 1,770,934 × 1,770,934
  4. Step 4: Simplify right side
    815,231x = 3,136,207,232,356
  5. Step 5: Solve for x
    x = 3,136,207,232,356/815,231
  6. Step 6: Final answer
    x = 3,847,016.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.