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Finding the Third Proportional to 2,170,802 and 3,191,175

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Solution

The third proportional to 2,170,802 and 3,191,175 is: 4,691,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,802 : 3,191,175 = 3,191,175 : x
  2. Step 2: Convert to fraction form
    2,170,802/3,191,175 = 3,191,175/x
  3. Step 3: Cross multiply
    2,170,802x = 3,191,175 × 3,191,175
  4. Step 4: Simplify right side
    2,170,802x = 10,183,597,880,625
  5. Step 5: Solve for x
    x = 10,183,597,880,625/2,170,802
  6. Step 6: Final answer
    x = 4,691,168.46

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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.