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Finding the Third Proportional to 451,884 and 978,162

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Solution

The third proportional to 451,884 and 978,162 is: 2,117,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,884 : 978,162 = 978,162 : x
  2. Step 2: Convert to fraction form
    451,884/978,162 = 978,162/x
  3. Step 3: Cross multiply
    451,884x = 978,162 × 978,162
  4. Step 4: Simplify right side
    451,884x = 956,800,898,244
  5. Step 5: Solve for x
    x = 956,800,898,244/451,884
  6. Step 6: Final answer
    x = 2,117,359.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.