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Finding the Third Proportional to 2,400,422 and 5,212,962

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Solution

The third proportional to 2,400,422 and 5,212,962 is: 11,320,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,422 : 5,212,962 = 5,212,962 : x
  2. Step 2: Convert to fraction form
    2,400,422/5,212,962 = 5,212,962/x
  3. Step 3: Cross multiply
    2,400,422x = 5,212,962 × 5,212,962
  4. Step 4: Simplify right side
    2,400,422x = 27,174,972,813,444
  5. Step 5: Solve for x
    x = 27,174,972,813,444/2,400,422
  6. Step 6: Final answer
    x = 11,320,914.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.