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Finding the Third Proportional to 499,081 and 1,082,237

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Solution

The third proportional to 499,081 and 1,082,237 is: 2,346,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,081 : 1,082,237 = 1,082,237 : x
  2. Step 2: Convert to fraction form
    499,081/1,082,237 = 1,082,237/x
  3. Step 3: Cross multiply
    499,081x = 1,082,237 × 1,082,237
  4. Step 4: Simplify right side
    499,081x = 1,171,236,924,169
  5. Step 5: Solve for x
    x = 1,171,236,924,169/499,081
  6. Step 6: Final answer
    x = 2,346,787.24

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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.