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Finding the Third Proportional to 499,083 and 1,082,241

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Solution

The third proportional to 499,083 and 1,082,241 is: 2,346,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,083 : 1,082,241 = 1,082,241 : x
  2. Step 2: Convert to fraction form
    499,083/1,082,241 = 1,082,241/x
  3. Step 3: Cross multiply
    499,083x = 1,082,241 × 1,082,241
  4. Step 4: Simplify right side
    499,083x = 1,171,245,582,081
  5. Step 5: Solve for x
    x = 1,171,245,582,081/499,083
  6. Step 6: Final answer
    x = 2,346,795.19

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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.