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Finding the Third Proportional to 823,079 and 1,796,980

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Solution

The third proportional to 823,079 and 1,796,980 is: 3,923,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,079 : 1,796,980 = 1,796,980 : x
  2. Step 2: Convert to fraction form
    823,079/1,796,980 = 1,796,980/x
  3. Step 3: Cross multiply
    823,079x = 1,796,980 × 1,796,980
  4. Step 4: Simplify right side
    823,079x = 3,229,137,120,400
  5. Step 5: Solve for x
    x = 3,229,137,120,400/823,079
  6. Step 6: Final answer
    x = 3,923,240.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.