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Finding the Third Proportional to 1,682,255.78 and 3,690,200.85

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Solution

The third proportional to 1,682,255.78 and 3,690,200.85 is: 8,094,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,255.78 : 3,690,200.85 = 3,690,200.85 : x
  2. Step 2: Convert to fraction form
    1,682,255.78/3,690,200.85 = 3,690,200.85/x
  3. Step 3: Cross multiply
    1,682,255.78x = 3,690,200.85 × 3,690,200.85
  4. Step 4: Simplify right side
    1,682,255.78x = 13,617,582,296,042.54
  5. Step 5: Solve for x
    x = 13,617,582,296,042.54/1,682,255.78
  6. Step 6: Final answer
    x = 8,094,834.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.