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Finding the Third Proportional to 842,252.50 and 1,826,375

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Solution

The third proportional to 842,252.50 and 1,826,375 is: 3,960,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,252.50 : 1,826,375 = 1,826,375 : x
  2. Step 2: Convert to fraction form
    842,252.50/1,826,375 = 1,826,375/x
  3. Step 3: Cross multiply
    842,252.50x = 1,826,375 × 1,826,375
  4. Step 4: Simplify right side
    842,252.50x = 3,335,645,640,625
  5. Step 5: Solve for x
    x = 3,335,645,640,625/842,252.50
  6. Step 6: Final answer
    x = 3,960,386.75

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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.