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Finding the Third Proportional to 1,279,677 and 2,764,566

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Solution

The third proportional to 1,279,677 and 2,764,566 is: 5,972,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,677 : 2,764,566 = 2,764,566 : x
  2. Step 2: Convert to fraction form
    1,279,677/2,764,566 = 2,764,566/x
  3. Step 3: Cross multiply
    1,279,677x = 2,764,566 × 2,764,566
  4. Step 4: Simplify right side
    1,279,677x = 7,642,825,168,356
  5. Step 5: Solve for x
    x = 7,642,825,168,356/1,279,677
  6. Step 6: Final answer
    x = 5,972,464.28

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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.