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Finding the Third Proportional to 422,070.75 and 924,189.75

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Solution

The third proportional to 422,070.75 and 924,189.75 is: 2,023,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,070.75 : 924,189.75 = 924,189.75 : x
  2. Step 2: Convert to fraction form
    422,070.75/924,189.75 = 924,189.75/x
  3. Step 3: Cross multiply
    422,070.75x = 924,189.75 × 924,189.75
  4. Step 4: Simplify right side
    422,070.75x = 854,126,694,005.06
  5. Step 5: Solve for x
    x = 854,126,694,005.06/422,070.75
  6. Step 6: Final answer
    x = 2,023,657.63

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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.