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Finding the Third Proportional to 494,908 and 1,084,404

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Solution

The third proportional to 494,908 and 1,084,404 is: 2,376,061.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,908 : 1,084,404 = 1,084,404 : x
  2. Step 2: Convert to fraction form
    494,908/1,084,404 = 1,084,404/x
  3. Step 3: Cross multiply
    494,908x = 1,084,404 × 1,084,404
  4. Step 4: Simplify right side
    494,908x = 1,175,932,035,216
  5. Step 5: Solve for x
    x = 1,175,932,035,216/494,908
  6. Step 6: Final answer
    x = 2,376,061.88

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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.