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Finding the Third Proportional to 2,397,014 and 5,135,198

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Solution

The third proportional to 2,397,014 and 5,135,198 is: 11,001,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,014 : 5,135,198 = 5,135,198 : x
  2. Step 2: Convert to fraction form
    2,397,014/5,135,198 = 5,135,198/x
  3. Step 3: Cross multiply
    2,397,014x = 5,135,198 × 5,135,198
  4. Step 4: Simplify right side
    2,397,014x = 26,370,258,499,204
  5. Step 5: Solve for x
    x = 26,370,258,499,204/2,397,014
  6. Step 6: Final answer
    x = 11,001,295.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.