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Finding the Third Proportional to 823,081 and 1,796,984

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Solution

The third proportional to 823,081 and 1,796,984 is: 3,923,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,081 : 1,796,984 = 1,796,984 : x
  2. Step 2: Convert to fraction form
    823,081/1,796,984 = 1,796,984/x
  3. Step 3: Cross multiply
    823,081x = 1,796,984 × 1,796,984
  4. Step 4: Simplify right side
    823,081x = 3,229,151,496,256
  5. Step 5: Solve for x
    x = 3,229,151,496,256/823,081
  6. Step 6: Final answer
    x = 3,923,248.74

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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.