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Finding the Third Proportional to 671,144 and 1,474,912

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Solution

The third proportional to 671,144 and 1,474,912 is: 3,241,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,144 : 1,474,912 = 1,474,912 : x
  2. Step 2: Convert to fraction form
    671,144/1,474,912 = 1,474,912/x
  3. Step 3: Cross multiply
    671,144x = 1,474,912 × 1,474,912
  4. Step 4: Simplify right side
    671,144x = 2,175,365,407,744
  5. Step 5: Solve for x
    x = 2,175,365,407,744/671,144
  6. Step 6: Final answer
    x = 3,241,279.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.