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Finding the Third Proportional to 823,797.84 and 1,793,988

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Solution

The third proportional to 823,797.84 and 1,793,988 is: 3,906,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,797.84 : 1,793,988 = 1,793,988 : x
  2. Step 2: Convert to fraction form
    823,797.84/1,793,988 = 1,793,988/x
  3. Step 3: Cross multiply
    823,797.84x = 1,793,988 × 1,793,988
  4. Step 4: Simplify right side
    823,797.84x = 3,218,392,944,144
  5. Step 5: Solve for x
    x = 3,218,392,944,144/823,797.84
  6. Step 6: Final answer
    x = 3,906,775.15

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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.