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Finding the Third Proportional to 422,068.50 and 924,181.88

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Solution

The third proportional to 422,068.50 and 924,181.88 is: 2,023,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,068.50 : 924,181.88 = 924,181.88 : x
  2. Step 2: Convert to fraction form
    422,068.50/924,181.88 = 924,181.88/x
  3. Step 3: Cross multiply
    422,068.50x = 924,181.88 × 924,181.88
  4. Step 4: Simplify right side
    422,068.50x = 854,112,138,078.52
  5. Step 5: Solve for x
    x = 854,112,138,078.52/422,068.50
  6. Step 6: Final answer
    x = 2,023,633.93

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