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Finding the Third Proportional to 946,469.81 and 2,052,636.19

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Solution

The third proportional to 946,469.81 and 2,052,636.19 is: 4,451,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,469.81 : 2,052,636.19 = 2,052,636.19 : x
  2. Step 2: Convert to fraction form
    946,469.81/2,052,636.19 = 2,052,636.19/x
  3. Step 3: Cross multiply
    946,469.81x = 2,052,636.19 × 2,052,636.19
  4. Step 4: Simplify right side
    946,469.81x = 4,213,315,318,234.54
  5. Step 5: Solve for x
    x = 4,213,315,318,234.54/946,469.81
  6. Step 6: Final answer
    x = 4,451,610.88

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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.