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Finding the Third Proportional to 2,286,198 and 5,113,692

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Solution

The third proportional to 2,286,198 and 5,113,692 is: 11,438,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286,198 : 5,113,692 = 5,113,692 : x
  2. Step 2: Convert to fraction form
    2,286,198/5,113,692 = 5,113,692/x
  3. Step 3: Cross multiply
    2,286,198x = 5,113,692 × 5,113,692
  4. Step 4: Simplify right side
    2,286,198x = 26,149,845,870,864
  5. Step 5: Solve for x
    x = 26,149,845,870,864/2,286,198
  6. Step 6: Final answer
    x = 11,438,136.97

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.