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Finding the Third Proportional to 494,238 and 1,084,704

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Solution

The third proportional to 494,238 and 1,084,704 is: 2,380,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,238 : 1,084,704 = 1,084,704 : x
  2. Step 2: Convert to fraction form
    494,238/1,084,704 = 1,084,704/x
  3. Step 3: Cross multiply
    494,238x = 1,084,704 × 1,084,704
  4. Step 4: Simplify right side
    494,238x = 1,176,582,767,616
  5. Step 5: Solve for x
    x = 1,176,582,767,616/494,238
  6. Step 6: Final answer
    x = 2,380,599.56

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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.