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Finding the Third Proportional to 682,197.19 and 1,384,440.61

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Solution

The third proportional to 682,197.19 and 1,384,440.61 is: 2,809,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,197.19 : 1,384,440.61 = 1,384,440.61 : x
  2. Step 2: Convert to fraction form
    682,197.19/1,384,440.61 = 1,384,440.61/x
  3. Step 3: Cross multiply
    682,197.19x = 1,384,440.61 × 1,384,440.61
  4. Step 4: Simplify right side
    682,197.19x = 1,916,675,800,886.62
  5. Step 5: Solve for x
    x = 1,916,675,800,886.62/682,197.19
  6. Step 6: Final answer
    x = 2,809,562.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.