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Finding the Third Proportional to 2,204,571 and 4,724,067

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Solution

The third proportional to 2,204,571 and 4,724,067 is: 10,122,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204,571 : 4,724,067 = 4,724,067 : x
  2. Step 2: Convert to fraction form
    2,204,571/4,724,067 = 4,724,067/x
  3. Step 3: Cross multiply
    2,204,571x = 4,724,067 × 4,724,067
  4. Step 4: Simplify right side
    2,204,571x = 22,316,809,020,489
  5. Step 5: Solve for x
    x = 22,316,809,020,489/2,204,571
  6. Step 6: Final answer
    x = 10,122,971.33

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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.