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Finding the Third Proportional to 2,025,675 and 3,207,640.50

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Solution

The third proportional to 2,025,675 and 3,207,640.50 is: 5,079,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,675 : 3,207,640.50 = 3,207,640.50 : x
  2. Step 2: Convert to fraction form
    2,025,675/3,207,640.50 = 3,207,640.50/x
  3. Step 3: Cross multiply
    2,025,675x = 3,207,640.50 × 3,207,640.50
  4. Step 4: Simplify right side
    2,025,675x = 10,288,957,577,240.25
  5. Step 5: Solve for x
    x = 10,288,957,577,240.25/2,025,675
  6. Step 6: Final answer
    x = 5,079,273.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.