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Finding the Third Proportional to 957,205.75 and 1,481,964.38

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Solution

The third proportional to 957,205.75 and 1,481,964.38 is: 2,294,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,205.75 : 1,481,964.38 = 1,481,964.38 : x
  2. Step 2: Convert to fraction form
    957,205.75/1,481,964.38 = 1,481,964.38/x
  3. Step 3: Cross multiply
    957,205.75x = 1,481,964.38 × 1,481,964.38
  4. Step 4: Simplify right side
    957,205.75x = 2,196,218,408,769.14
  5. Step 5: Solve for x
    x = 2,196,218,408,769.14/957,205.75
  6. Step 6: Final answer
    x = 2,294,405.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.