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Finding the Third Proportional to 499,406 and 1,092,084

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Solution

The third proportional to 499,406 and 1,092,084 is: 2,388,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,406 : 1,092,084 = 1,092,084 : x
  2. Step 2: Convert to fraction form
    499,406/1,092,084 = 1,092,084/x
  3. Step 3: Cross multiply
    499,406x = 1,092,084 × 1,092,084
  4. Step 4: Simplify right side
    499,406x = 1,192,647,463,056
  5. Step 5: Solve for x
    x = 1,192,647,463,056/499,406
  6. Step 6: Final answer
    x = 2,388,132.03

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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.