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Finding the Third Proportional to 946,478.25 and 2,052,651.38

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Solution

The third proportional to 946,478.25 and 2,052,651.38 is: 4,451,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,478.25 : 2,052,651.38 = 2,052,651.38 : x
  2. Step 2: Convert to fraction form
    946,478.25/2,052,651.38 = 2,052,651.38/x
  3. Step 3: Cross multiply
    946,478.25x = 2,052,651.38 × 2,052,651.38
  4. Step 4: Simplify right side
    946,478.25x = 4,213,377,667,289.39
  5. Step 5: Solve for x
    x = 4,213,377,667,289.39/946,478.25
  6. Step 6: Final answer
    x = 4,451,637.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.