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Finding the Third Proportional to 416,016 and 851,745.38

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Solution

The third proportional to 416,016 and 851,745.38 is: 1,743,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,016 : 851,745.38 = 851,745.38 : x
  2. Step 2: Convert to fraction form
    416,016/851,745.38 = 851,745.38/x
  3. Step 3: Cross multiply
    416,016x = 851,745.38 × 851,745.38
  4. Step 4: Simplify right side
    416,016x = 725,470,183,833.89
  5. Step 5: Solve for x
    x = 725,470,183,833.89/416,016
  6. Step 6: Final answer
    x = 1,743,851.64

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.