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Finding the Third Proportional to 422,277 and 879,499

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Solution

The third proportional to 422,277 and 879,499 is: 1,831,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,277 : 879,499 = 879,499 : x
  2. Step 2: Convert to fraction form
    422,277/879,499 = 879,499/x
  3. Step 3: Cross multiply
    422,277x = 879,499 × 879,499
  4. Step 4: Simplify right side
    422,277x = 773,518,491,001
  5. Step 5: Solve for x
    x = 773,518,491,001/422,277
  6. Step 6: Final answer
    x = 1,831,779.83

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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.