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Finding the Third Proportional to 852,338.25 and 1,837,517.25

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Solution

The third proportional to 852,338.25 and 1,837,517.25 is: 3,961,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,338.25 : 1,837,517.25 = 1,837,517.25 : x
  2. Step 2: Convert to fraction form
    852,338.25/1,837,517.25 = 1,837,517.25/x
  3. Step 3: Cross multiply
    852,338.25x = 1,837,517.25 × 1,837,517.25
  4. Step 4: Simplify right side
    852,338.25x = 3,376,469,644,047.56
  5. Step 5: Solve for x
    x = 3,376,469,644,047.56/852,338.25
  6. Step 6: Final answer
    x = 3,961,419.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.