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Finding the Third Proportional to 1,279,744 and 2,962,688

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Solution

The third proportional to 1,279,744 and 2,962,688 is: 6,858,809.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,744 : 2,962,688 = 2,962,688 : x
  2. Step 2: Convert to fraction form
    1,279,744/2,962,688 = 2,962,688/x
  3. Step 3: Cross multiply
    1,279,744x = 2,962,688 × 2,962,688
  4. Step 4: Simplify right side
    1,279,744x = 8,777,520,185,344
  5. Step 5: Solve for x
    x = 8,777,520,185,344/1,279,744
  6. Step 6: Final answer
    x = 6,858,809.41

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