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Finding the Third Proportional to 2,449,230 and 5,189,844

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Solution

The third proportional to 2,449,230 and 5,189,844 is: 10,997,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449,230 : 5,189,844 = 5,189,844 : x
  2. Step 2: Convert to fraction form
    2,449,230/5,189,844 = 5,189,844/x
  3. Step 3: Cross multiply
    2,449,230x = 5,189,844 × 5,189,844
  4. Step 4: Simplify right side
    2,449,230x = 26,934,480,744,336
  5. Step 5: Solve for x
    x = 26,934,480,744,336/2,449,230
  6. Step 6: Final answer
    x = 10,997,121.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.