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Finding the Third Proportional to 422,843 and 880,570

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Solution

The third proportional to 422,843 and 880,570 is: 1,833,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,843 : 880,570 = 880,570 : x
  2. Step 2: Convert to fraction form
    422,843/880,570 = 880,570/x
  3. Step 3: Cross multiply
    422,843x = 880,570 × 880,570
  4. Step 4: Simplify right side
    422,843x = 775,403,524,900
  5. Step 5: Solve for x
    x = 775,403,524,900/422,843
  6. Step 6: Final answer
    x = 1,833,785.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.