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Finding the Third Proportional to 494,178 and 1,082,910

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Solution

The third proportional to 494,178 and 1,082,910 is: 2,373,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,178 : 1,082,910 = 1,082,910 : x
  2. Step 2: Convert to fraction form
    494,178/1,082,910 = 1,082,910/x
  3. Step 3: Cross multiply
    494,178x = 1,082,910 × 1,082,910
  4. Step 4: Simplify right side
    494,178x = 1,172,694,068,100
  5. Step 5: Solve for x
    x = 1,172,694,068,100/494,178
  6. Step 6: Final answer
    x = 2,373,019.58

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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.