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Finding the Third Proportional to 822,204 and 1,667,088

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Solution

The third proportional to 822,204 and 1,667,088 is: 3,380,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,204 : 1,667,088 = 1,667,088 : x
  2. Step 2: Convert to fraction form
    822,204/1,667,088 = 1,667,088/x
  3. Step 3: Cross multiply
    822,204x = 1,667,088 × 1,667,088
  4. Step 4: Simplify right side
    822,204x = 2,779,182,399,744
  5. Step 5: Solve for x
    x = 2,779,182,399,744/822,204
  6. Step 6: Final answer
    x = 3,380,161.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.