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Finding the Third Proportional to 494,208 and 1,084,644

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Solution

The third proportional to 494,208 and 1,084,644 is: 2,380,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,208 : 1,084,644 = 1,084,644 : x
  2. Step 2: Convert to fraction form
    494,208/1,084,644 = 1,084,644/x
  3. Step 3: Cross multiply
    494,208x = 1,084,644 × 1,084,644
  4. Step 4: Simplify right side
    494,208x = 1,176,452,606,736
  5. Step 5: Solve for x
    x = 1,176,452,606,736/494,208
  6. Step 6: Final answer
    x = 2,380,480.70

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