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Finding the Third Proportional to 422,883 and 880,755

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Solution

The third proportional to 422,883 and 880,755 is: 1,834,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,883 : 880,755 = 880,755 : x
  2. Step 2: Convert to fraction form
    422,883/880,755 = 880,755/x
  3. Step 3: Cross multiply
    422,883x = 880,755 × 880,755
  4. Step 4: Simplify right side
    422,883x = 775,729,370,025
  5. Step 5: Solve for x
    x = 775,729,370,025/422,883
  6. Step 6: Final answer
    x = 1,834,382.96

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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.