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Finding the Third Proportional to 2,389,096 and 5,198,096

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Solution

The third proportional to 2,389,096 and 5,198,096 is: 11,309,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,096 : 5,198,096 = 5,198,096 : x
  2. Step 2: Convert to fraction form
    2,389,096/5,198,096 = 5,198,096/x
  3. Step 3: Cross multiply
    2,389,096x = 5,198,096 × 5,198,096
  4. Step 4: Simplify right side
    2,389,096x = 27,020,202,025,216
  5. Step 5: Solve for x
    x = 27,020,202,025,216/2,389,096
  6. Step 6: Final answer
    x = 11,309,801.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.