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Finding the Third Proportional to 789,144 and 1,203,372

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Solution

The third proportional to 789,144 and 1,203,372 is: 1,835,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,144 : 1,203,372 = 1,203,372 : x
  2. Step 2: Convert to fraction form
    789,144/1,203,372 = 1,203,372/x
  3. Step 3: Cross multiply
    789,144x = 1,203,372 × 1,203,372
  4. Step 4: Simplify right side
    789,144x = 1,448,104,170,384
  5. Step 5: Solve for x
    x = 1,448,104,170,384/789,144
  6. Step 6: Final answer
    x = 1,835,031.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.