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Finding the Third Proportional to 815,253.75 and 1,770,972.75

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Solution

The third proportional to 815,253.75 and 1,770,972.75 is: 3,847,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,253.75 : 1,770,972.75 = 1,770,972.75 : x
  2. Step 2: Convert to fraction form
    815,253.75/1,770,972.75 = 1,770,972.75/x
  3. Step 3: Cross multiply
    815,253.75x = 1,770,972.75 × 1,770,972.75
  4. Step 4: Simplify right side
    815,253.75x = 3,136,344,481,242.56
  5. Step 5: Solve for x
    x = 3,136,344,481,242.56/815,253.75
  6. Step 6: Final answer
    x = 3,847,077.65

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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.