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Finding the Third Proportional to 902,367 and 1,204,182

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Solution

The third proportional to 902,367 and 1,204,182 is: 1,606,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,367 : 1,204,182 = 1,204,182 : x
  2. Step 2: Convert to fraction form
    902,367/1,204,182 = 1,204,182/x
  3. Step 3: Cross multiply
    902,367x = 1,204,182 × 1,204,182
  4. Step 4: Simplify right side
    902,367x = 1,450,054,289,124
  5. Step 5: Solve for x
    x = 1,450,054,289,124/902,367
  6. Step 6: Final answer
    x = 1,606,945.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.