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Finding the Third Proportional to 5,992,170 and 8,478,741

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Solution

The third proportional to 5,992,170 and 8,478,741 is: 11,997,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992,170 : 8,478,741 = 8,478,741 : x
  2. Step 2: Convert to fraction form
    5,992,170/8,478,741 = 8,478,741/x
  3. Step 3: Cross multiply
    5,992,170x = 8,478,741 × 8,478,741
  4. Step 4: Simplify right side
    5,992,170x = 71,889,048,945,081
  5. Step 5: Solve for x
    x = 71,889,048,945,081/5,992,170
  6. Step 6: Final answer
    x = 11,997,164.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.