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Finding the Third Proportional to 2,338,231 and 5,463,166

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Solution

The third proportional to 2,338,231 and 5,463,166 is: 12,764,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,231 : 5,463,166 = 5,463,166 : x
  2. Step 2: Convert to fraction form
    2,338,231/5,463,166 = 5,463,166/x
  3. Step 3: Cross multiply
    2,338,231x = 5,463,166 × 5,463,166
  4. Step 4: Simplify right side
    2,338,231x = 29,846,182,743,556
  5. Step 5: Solve for x
    x = 29,846,182,743,556/2,338,231
  6. Step 6: Final answer
    x = 12,764,428.64

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.