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Finding the Third Proportional to 494,232 and 1,084,692

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Solution

The third proportional to 494,232 and 1,084,692 is: 2,380,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,232 : 1,084,692 = 1,084,692 : x
  2. Step 2: Convert to fraction form
    494,232/1,084,692 = 1,084,692/x
  3. Step 3: Cross multiply
    494,232x = 1,084,692 × 1,084,692
  4. Step 4: Simplify right side
    494,232x = 1,176,556,734,864
  5. Step 5: Solve for x
    x = 1,176,556,734,864/494,232
  6. Step 6: Final answer
    x = 2,380,575.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.