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Finding the Third Proportional to 422,442 and 879,842.25

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Solution

The third proportional to 422,442 and 879,842.25 is: 1,832,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,442 : 879,842.25 = 879,842.25 : x
  2. Step 2: Convert to fraction form
    422,442/879,842.25 = 879,842.25/x
  3. Step 3: Cross multiply
    422,442x = 879,842.25 × 879,842.25
  4. Step 4: Simplify right side
    422,442x = 774,122,384,885.06
  5. Step 5: Solve for x
    x = 774,122,384,885.06/422,442
  6. Step 6: Final answer
    x = 1,832,493.89

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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.