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Finding the Third Proportional to 2,409,840 and 5,239,512

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Solution

The third proportional to 2,409,840 and 5,239,512 is: 11,391,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,840 : 5,239,512 = 5,239,512 : x
  2. Step 2: Convert to fraction form
    2,409,840/5,239,512 = 5,239,512/x
  3. Step 3: Cross multiply
    2,409,840x = 5,239,512 × 5,239,512
  4. Step 4: Simplify right side
    2,409,840x = 27,452,485,998,144
  5. Step 5: Solve for x
    x = 27,452,485,998,144/2,409,840
  6. Step 6: Final answer
    x = 11,391,829.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.