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Finding the Third Proportional to 2,431,538 and 5,629,049

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Solution

The third proportional to 2,431,538 and 5,629,049 is: 13,031,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,538 : 5,629,049 = 5,629,049 : x
  2. Step 2: Convert to fraction form
    2,431,538/5,629,049 = 5,629,049/x
  3. Step 3: Cross multiply
    2,431,538x = 5,629,049 × 5,629,049
  4. Step 4: Simplify right side
    2,431,538x = 31,686,192,644,401
  5. Step 5: Solve for x
    x = 31,686,192,644,401/2,431,538
  6. Step 6: Final answer
    x = 13,031,337.63

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.