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Finding the Third Proportional to 823,077 and 1,796,976

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Solution

The third proportional to 823,077 and 1,796,976 is: 3,923,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,077 : 1,796,976 = 1,796,976 : x
  2. Step 2: Convert to fraction form
    823,077/1,796,976 = 1,796,976/x
  3. Step 3: Cross multiply
    823,077x = 1,796,976 × 1,796,976
  4. Step 4: Simplify right side
    823,077x = 3,229,122,744,576
  5. Step 5: Solve for x
    x = 3,229,122,744,576/823,077
  6. Step 6: Final answer
    x = 3,923,232.87

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Why These Related Problems?

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