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Finding the Third Proportional to 422,149.50 and 924,610.50

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Solution

The third proportional to 422,149.50 and 924,610.50 is: 2,025,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,149.50 : 924,610.50 = 924,610.50 : x
  2. Step 2: Convert to fraction form
    422,149.50/924,610.50 = 924,610.50/x
  3. Step 3: Cross multiply
    422,149.50x = 924,610.50 × 924,610.50
  4. Step 4: Simplify right side
    422,149.50x = 854,904,576,710.25
  5. Step 5: Solve for x
    x = 854,904,576,710.25/422,149.50
  6. Step 6: Final answer
    x = 2,025,122.80

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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.