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Finding the Third Proportional to 2,027,103.75 and 2,730,375

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Solution

The third proportional to 2,027,103.75 and 2,730,375 is: 3,677,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,103.75 : 2,730,375 = 2,730,375 : x
  2. Step 2: Convert to fraction form
    2,027,103.75/2,730,375 = 2,730,375/x
  3. Step 3: Cross multiply
    2,027,103.75x = 2,730,375 × 2,730,375
  4. Step 4: Simplify right side
    2,027,103.75x = 7,454,947,640,625
  5. Step 5: Solve for x
    x = 7,454,947,640,625/2,027,103.75
  6. Step 6: Final answer
    x = 3,677,634.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.