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Finding the Third Proportional to 494,718 and 1,084,122

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Solution

The third proportional to 494,718 and 1,084,122 is: 2,375,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,718 : 1,084,122 = 1,084,122 : x
  2. Step 2: Convert to fraction form
    494,718/1,084,122 = 1,084,122/x
  3. Step 3: Cross multiply
    494,718x = 1,084,122 × 1,084,122
  4. Step 4: Simplify right side
    494,718x = 1,175,320,510,884
  5. Step 5: Solve for x
    x = 1,175,320,510,884/494,718
  6. Step 6: Final answer
    x = 2,375,738.32

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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.