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Finding the Third Proportional to 422,523 and 879,993

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Solution

The third proportional to 422,523 and 879,993 is: 1,832,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,523 : 879,993 = 879,993 : x
  2. Step 2: Convert to fraction form
    422,523/879,993 = 879,993/x
  3. Step 3: Cross multiply
    422,523x = 879,993 × 879,993
  4. Step 4: Simplify right side
    422,523x = 774,387,680,049
  5. Step 5: Solve for x
    x = 774,387,680,049/422,523
  6. Step 6: Final answer
    x = 1,832,770.48

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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.