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Finding the Third Proportional to 494,162.44 and 1,082,880.56

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Solution

The third proportional to 494,162.44 and 1,082,880.56 is: 2,372,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,162.44 : 1,082,880.56 = 1,082,880.56 : x
  2. Step 2: Convert to fraction form
    494,162.44/1,082,880.56 = 1,082,880.56/x
  3. Step 3: Cross multiply
    494,162.44x = 1,082,880.56 × 1,082,880.56
  4. Step 4: Simplify right side
    494,162.44x = 1,172,630,312,640.32
  5. Step 5: Solve for x
    x = 1,172,630,312,640.32/494,162.44
  6. Step 6: Final answer
    x = 2,372,965.29

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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.