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Finding the Third Proportional to 494,720 and 1,084,126

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Solution

The third proportional to 494,720 and 1,084,126 is: 2,375,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,720 : 1,084,126 = 1,084,126 : x
  2. Step 2: Convert to fraction form
    494,720/1,084,126 = 1,084,126/x
  3. Step 3: Cross multiply
    494,720x = 1,084,126 × 1,084,126
  4. Step 4: Simplify right side
    494,720x = 1,175,329,183,876
  5. Step 5: Solve for x
    x = 1,175,329,183,876/494,720
  6. Step 6: Final answer
    x = 2,375,746.25

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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.