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Finding the Third Proportional to 422,883 and 880,758

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Solution

The third proportional to 422,883 and 880,758 is: 1,834,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,883 : 880,758 = 880,758 : x
  2. Step 2: Convert to fraction form
    422,883/880,758 = 880,758/x
  3. Step 3: Cross multiply
    422,883x = 880,758 × 880,758
  4. Step 4: Simplify right side
    422,883x = 775,734,654,564
  5. Step 5: Solve for x
    x = 775,734,654,564/422,883
  6. Step 6: Final answer
    x = 1,834,395.46

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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.