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Finding the Third Proportional to 498,449 and 1,096,582

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Solution

The third proportional to 498,449 and 1,096,582 is: 2,412,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,449 : 1,096,582 = 1,096,582 : x
  2. Step 2: Convert to fraction form
    498,449/1,096,582 = 1,096,582/x
  3. Step 3: Cross multiply
    498,449x = 1,096,582 × 1,096,582
  4. Step 4: Simplify right side
    498,449x = 1,202,492,082,724
  5. Step 5: Solve for x
    x = 1,202,492,082,724/498,449
  6. Step 6: Final answer
    x = 2,412,467.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.