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Finding the Third Proportional to 422,067.50 and 924,181.75

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Solution

The third proportional to 422,067.50 and 924,181.75 is: 2,023,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,067.50 : 924,181.75 = 924,181.75 : x
  2. Step 2: Convert to fraction form
    422,067.50/924,181.75 = 924,181.75/x
  3. Step 3: Cross multiply
    422,067.50x = 924,181.75 × 924,181.75
  4. Step 4: Simplify right side
    422,067.50x = 854,111,907,033.06
  5. Step 5: Solve for x
    x = 854,111,907,033.06/422,067.50
  6. Step 6: Final answer
    x = 2,023,638.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.