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Finding the Third Proportional to 1,279,829 and 2,764,912

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Solution

The third proportional to 1,279,829 and 2,764,912 is: 5,973,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,829 : 2,764,912 = 2,764,912 : x
  2. Step 2: Convert to fraction form
    1,279,829/2,764,912 = 2,764,912/x
  3. Step 3: Cross multiply
    1,279,829x = 2,764,912 × 2,764,912
  4. Step 4: Simplify right side
    1,279,829x = 7,644,738,367,744
  5. Step 5: Solve for x
    x = 7,644,738,367,744/1,279,829
  6. Step 6: Final answer
    x = 5,973,249.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.