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Finding the Third Proportional to 499,082 and 1,082,239

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Solution

The third proportional to 499,082 and 1,082,239 is: 2,346,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,082 : 1,082,239 = 1,082,239 : x
  2. Step 2: Convert to fraction form
    499,082/1,082,239 = 1,082,239/x
  3. Step 3: Cross multiply
    499,082x = 1,082,239 × 1,082,239
  4. Step 4: Simplify right side
    499,082x = 1,171,241,253,121
  5. Step 5: Solve for x
    x = 1,171,241,253,121/499,082
  6. Step 6: Final answer
    x = 2,346,791.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.