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Finding the Third Proportional to 494,223 and 1,084,674

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Solution

The third proportional to 494,223 and 1,084,674 is: 2,380,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,223 : 1,084,674 = 1,084,674 : x
  2. Step 2: Convert to fraction form
    494,223/1,084,674 = 1,084,674/x
  3. Step 3: Cross multiply
    494,223x = 1,084,674 × 1,084,674
  4. Step 4: Simplify right side
    494,223x = 1,176,517,686,276
  5. Step 5: Solve for x
    x = 1,176,517,686,276/494,223
  6. Step 6: Final answer
    x = 2,380,540.13

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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.