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Finding the Third Proportional to 1,143,296 and 2,438,416

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Solution

The third proportional to 1,143,296 and 2,438,416 is: 5,200,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,296 : 2,438,416 = 2,438,416 : x
  2. Step 2: Convert to fraction form
    1,143,296/2,438,416 = 2,438,416/x
  3. Step 3: Cross multiply
    1,143,296x = 2,438,416 × 2,438,416
  4. Step 4: Simplify right side
    1,143,296x = 5,945,872,589,056
  5. Step 5: Solve for x
    x = 5,945,872,589,056/1,143,296
  6. Step 6: Final answer
    x = 5,200,641.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.