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Finding the Third Proportional to 1,279,674 and 2,962,509

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Solution

The third proportional to 1,279,674 and 2,962,509 is: 6,858,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,674 : 2,962,509 = 2,962,509 : x
  2. Step 2: Convert to fraction form
    1,279,674/2,962,509 = 2,962,509/x
  3. Step 3: Cross multiply
    1,279,674x = 2,962,509 × 2,962,509
  4. Step 4: Simplify right side
    1,279,674x = 8,776,459,575,081
  5. Step 5: Solve for x
    x = 8,776,459,575,081/1,279,674
  6. Step 6: Final answer
    x = 6,858,355.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.