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Finding the Third Proportional to 812,963.25 and 1,770,693.75

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Solution

The third proportional to 812,963.25 and 1,770,693.75 is: 3,856,701.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,963.25 : 1,770,693.75 = 1,770,693.75 : x
  2. Step 2: Convert to fraction form
    812,963.25/1,770,693.75 = 1,770,693.75/x
  3. Step 3: Cross multiply
    812,963.25x = 1,770,693.75 × 1,770,693.75
  4. Step 4: Simplify right side
    812,963.25x = 3,135,356,356,289.06
  5. Step 5: Solve for x
    x = 3,135,356,356,289.06/812,963.25
  6. Step 6: Final answer
    x = 3,856,701.22

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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.