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Finding the Third Proportional to 946,328.25 and 2,052,375.75

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Solution

The third proportional to 946,328.25 and 2,052,375.75 is: 4,451,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,328.25 : 2,052,375.75 = 2,052,375.75 : x
  2. Step 2: Convert to fraction form
    946,328.25/2,052,375.75 = 2,052,375.75/x
  3. Step 3: Cross multiply
    946,328.25x = 2,052,375.75 × 2,052,375.75
  4. Step 4: Simplify right side
    946,328.25x = 4,212,246,219,188.06
  5. Step 5: Solve for x
    x = 4,212,246,219,188.06/946,328.25
  6. Step 6: Final answer
    x = 4,451,147.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.