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Finding the Third Proportional to 1,796,736 and 3,892,256

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Solution

The third proportional to 1,796,736 and 3,892,256 is: 8,431,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796,736 : 3,892,256 = 3,892,256 : x
  2. Step 2: Convert to fraction form
    1,796,736/3,892,256 = 3,892,256/x
  3. Step 3: Cross multiply
    1,796,736x = 3,892,256 × 3,892,256
  4. Step 4: Simplify right side
    1,796,736x = 15,149,656,769,536
  5. Step 5: Solve for x
    x = 15,149,656,769,536/1,796,736
  6. Step 6: Final answer
    x = 8,431,765.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.