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Finding the Third Proportional to 2,380,620 and 5,290,980

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Solution

The third proportional to 2,380,620 and 5,290,980 is: 11,759,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,620 : 5,290,980 = 5,290,980 : x
  2. Step 2: Convert to fraction form
    2,380,620/5,290,980 = 5,290,980/x
  3. Step 3: Cross multiply
    2,380,620x = 5,290,980 × 5,290,980
  4. Step 4: Simplify right side
    2,380,620x = 27,994,469,360,400
  5. Step 5: Solve for x
    x = 27,994,469,360,400/2,380,620
  6. Step 6: Final answer
    x = 11,759,318.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.