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Finding the Third Proportional to 499,077 and 1,082,232

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Solution

The third proportional to 499,077 and 1,082,232 is: 2,346,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,077 : 1,082,232 = 1,082,232 : x
  2. Step 2: Convert to fraction form
    499,077/1,082,232 = 1,082,232/x
  3. Step 3: Cross multiply
    499,077x = 1,082,232 × 1,082,232
  4. Step 4: Simplify right side
    499,077x = 1,171,226,101,824
  5. Step 5: Solve for x
    x = 1,171,226,101,824/499,077
  6. Step 6: Final answer
    x = 2,346,784.37

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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.