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Finding the Third Proportional to 674,902.50 and 1,467,903

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Solution

The third proportional to 674,902.50 and 1,467,903 is: 3,192,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,902.50 : 1,467,903 = 1,467,903 : x
  2. Step 2: Convert to fraction form
    674,902.50/1,467,903 = 1,467,903/x
  3. Step 3: Cross multiply
    674,902.50x = 1,467,903 × 1,467,903
  4. Step 4: Simplify right side
    674,902.50x = 2,154,739,217,409
  5. Step 5: Solve for x
    x = 2,154,739,217,409/674,902.50
  6. Step 6: Final answer
    x = 3,192,667.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.