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Finding the Third Proportional to 2,578,208 and 5,671,936

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Solution

The third proportional to 2,578,208 and 5,671,936 is: 12,477,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,208 : 5,671,936 = 5,671,936 : x
  2. Step 2: Convert to fraction form
    2,578,208/5,671,936 = 5,671,936/x
  3. Step 3: Cross multiply
    2,578,208x = 5,671,936 × 5,671,936
  4. Step 4: Simplify right side
    2,578,208x = 32,170,857,988,096
  5. Step 5: Solve for x
    x = 32,170,857,988,096/2,578,208
  6. Step 6: Final answer
    x = 12,477,991.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.