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Finding the Third Proportional to 1,067,353.50 and 2,297,908.50

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Solution

The third proportional to 1,067,353.50 and 2,297,908.50 is: 4,947,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067,353.50 : 2,297,908.50 = 2,297,908.50 : x
  2. Step 2: Convert to fraction form
    1,067,353.50/2,297,908.50 = 2,297,908.50/x
  3. Step 3: Cross multiply
    1,067,353.50x = 2,297,908.50 × 2,297,908.50
  4. Step 4: Simplify right side
    1,067,353.50x = 5,280,383,474,372.25
  5. Step 5: Solve for x
    x = 5,280,383,474,372.25/1,067,353.50
  6. Step 6: Final answer
    x = 4,947,173.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.