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Finding the Third Proportional to 982,874.25 and 2,158,467.75

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Solution

The third proportional to 982,874.25 and 2,158,467.75 is: 4,740,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,874.25 : 2,158,467.75 = 2,158,467.75 : x
  2. Step 2: Convert to fraction form
    982,874.25/2,158,467.75 = 2,158,467.75/x
  3. Step 3: Cross multiply
    982,874.25x = 2,158,467.75 × 2,158,467.75
  4. Step 4: Simplify right side
    982,874.25x = 4,658,983,027,790.06
  5. Step 5: Solve for x
    x = 4,658,983,027,790.06/982,874.25
  6. Step 6: Final answer
    x = 4,740,161.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.