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Finding the Third Proportional to 422,841 and 880,566

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Solution

The third proportional to 422,841 and 880,566 is: 1,833,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,841 : 880,566 = 880,566 : x
  2. Step 2: Convert to fraction form
    422,841/880,566 = 880,566/x
  3. Step 3: Cross multiply
    422,841x = 880,566 × 880,566
  4. Step 4: Simplify right side
    422,841x = 775,396,480,356
  5. Step 5: Solve for x
    x = 775,396,480,356/422,841
  6. Step 6: Final answer
    x = 1,833,777.90

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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.