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Finding the Third Proportional to 946,631.25 and 1,949,082.75

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Solution

The third proportional to 946,631.25 and 1,949,082.75 is: 4,013,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,631.25 : 1,949,082.75 = 1,949,082.75 : x
  2. Step 2: Convert to fraction form
    946,631.25/1,949,082.75 = 1,949,082.75/x
  3. Step 3: Cross multiply
    946,631.25x = 1,949,082.75 × 1,949,082.75
  4. Step 4: Simplify right side
    946,631.25x = 3,798,923,566,347.56
  5. Step 5: Solve for x
    x = 3,798,923,566,347.56/946,631.25
  6. Step 6: Final answer
    x = 4,013,097.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.