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Finding the Third Proportional to 2,749,813.50 and 4,040,442

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Solution

The third proportional to 2,749,813.50 and 4,040,442 is: 5,936,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749,813.50 : 4,040,442 = 4,040,442 : x
  2. Step 2: Convert to fraction form
    2,749,813.50/4,040,442 = 4,040,442/x
  3. Step 3: Cross multiply
    2,749,813.50x = 4,040,442 × 4,040,442
  4. Step 4: Simplify right side
    2,749,813.50x = 16,325,171,555,364
  5. Step 5: Solve for x
    x = 16,325,171,555,364/2,749,813.50
  6. Step 6: Final answer
    x = 5,936,828.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.