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Finding the Third Proportional to 1,279,200 and 2,815,968

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Solution

The third proportional to 1,279,200 and 2,815,968 is: 6,198,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,200 : 2,815,968 = 2,815,968 : x
  2. Step 2: Convert to fraction form
    1,279,200/2,815,968 = 2,815,968/x
  3. Step 3: Cross multiply
    1,279,200x = 2,815,968 × 2,815,968
  4. Step 4: Simplify right side
    1,279,200x = 7,929,675,777,024
  5. Step 5: Solve for x
    x = 7,929,675,777,024/1,279,200
  6. Step 6: Final answer
    x = 6,198,933.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.