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Finding the Third Proportional to 2,397,122 and 5,149,987

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Solution

The third proportional to 2,397,122 and 5,149,987 is: 11,064,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,122 : 5,149,987 = 5,149,987 : x
  2. Step 2: Convert to fraction form
    2,397,122/5,149,987 = 5,149,987/x
  3. Step 3: Cross multiply
    2,397,122x = 5,149,987 × 5,149,987
  4. Step 4: Simplify right side
    2,397,122x = 26,522,366,100,169
  5. Step 5: Solve for x
    x = 26,522,366,100,169/2,397,122
  6. Step 6: Final answer
    x = 11,064,253.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.