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Finding the Third Proportional to 952,923 and 1,431,504

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Solution

The third proportional to 952,923 and 1,431,504 is: 2,150,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,923 : 1,431,504 = 1,431,504 : x
  2. Step 2: Convert to fraction form
    952,923/1,431,504 = 1,431,504/x
  3. Step 3: Cross multiply
    952,923x = 1,431,504 × 1,431,504
  4. Step 4: Simplify right side
    952,923x = 2,049,203,702,016
  5. Step 5: Solve for x
    x = 2,049,203,702,016/952,923
  6. Step 6: Final answer
    x = 2,150,439.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.