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Finding the Third Proportional to 1,449,372 and 3,410,286

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Solution

The third proportional to 1,449,372 and 3,410,286 is: 8,024,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,372 : 3,410,286 = 3,410,286 : x
  2. Step 2: Convert to fraction form
    1,449,372/3,410,286 = 3,410,286/x
  3. Step 3: Cross multiply
    1,449,372x = 3,410,286 × 3,410,286
  4. Step 4: Simplify right side
    1,449,372x = 11,630,050,601,796
  5. Step 5: Solve for x
    x = 11,630,050,601,796/1,449,372
  6. Step 6: Final answer
    x = 8,024,199.86

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.