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Finding the Third Proportional to 2,534,049 and 5,464,188

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Solution

The third proportional to 2,534,049 and 5,464,188 is: 11,782,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534,049 : 5,464,188 = 5,464,188 : x
  2. Step 2: Convert to fraction form
    2,534,049/5,464,188 = 5,464,188/x
  3. Step 3: Cross multiply
    2,534,049x = 5,464,188 × 5,464,188
  4. Step 4: Simplify right side
    2,534,049x = 29,857,350,499,344
  5. Step 5: Solve for x
    x = 29,857,350,499,344/2,534,049
  6. Step 6: Final answer
    x = 11,782,467.70

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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.