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Finding the Third Proportional to 2,409,714 and 3,212,593

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Solution

The third proportional to 2,409,714 and 3,212,593 is: 4,282,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,714 : 3,212,593 = 3,212,593 : x
  2. Step 2: Convert to fraction form
    2,409,714/3,212,593 = 3,212,593/x
  3. Step 3: Cross multiply
    2,409,714x = 3,212,593 × 3,212,593
  4. Step 4: Simplify right side
    2,409,714x = 10,320,753,783,649
  5. Step 5: Solve for x
    x = 10,320,753,783,649/2,409,714
  6. Step 6: Final answer
    x = 4,282,978.72

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.