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Finding the Third Proportional to 2,198,756 and 3,363,527

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Solution

The third proportional to 2,198,756 and 3,363,527 is: 5,145,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,756 : 3,363,527 = 3,363,527 : x
  2. Step 2: Convert to fraction form
    2,198,756/3,363,527 = 3,363,527/x
  3. Step 3: Cross multiply
    2,198,756x = 3,363,527 × 3,363,527
  4. Step 4: Simplify right side
    2,198,756x = 11,313,313,879,729
  5. Step 5: Solve for x
    x = 11,313,313,879,729/2,198,756
  6. Step 6: Final answer
    x = 5,145,324.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.