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Finding the Third Proportional to 499,080 and 1,082,235

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Solution

The third proportional to 499,080 and 1,082,235 is: 2,346,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,080 : 1,082,235 = 1,082,235 : x
  2. Step 2: Convert to fraction form
    499,080/1,082,235 = 1,082,235/x
  3. Step 3: Cross multiply
    499,080x = 1,082,235 × 1,082,235
  4. Step 4: Simplify right side
    499,080x = 1,171,232,595,225
  5. Step 5: Solve for x
    x = 1,171,232,595,225/499,080
  6. Step 6: Final answer
    x = 2,346,783.27

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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.