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Finding the Third Proportional to 812,965 and 1,770,698

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Solution

The third proportional to 812,965 and 1,770,698 is: 3,856,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,965 : 1,770,698 = 1,770,698 : x
  2. Step 2: Convert to fraction form
    812,965/1,770,698 = 1,770,698/x
  3. Step 3: Cross multiply
    812,965x = 1,770,698 × 1,770,698
  4. Step 4: Simplify right side
    812,965x = 3,135,371,407,204
  5. Step 5: Solve for x
    x = 3,135,371,407,204/812,965
  6. Step 6: Final answer
    x = 3,856,711.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.