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Finding the Third Proportional to 505,372 and 1,099,832

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Solution

The third proportional to 505,372 and 1,099,832 is: 2,393,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,372 : 1,099,832 = 1,099,832 : x
  2. Step 2: Convert to fraction form
    505,372/1,099,832 = 1,099,832/x
  3. Step 3: Cross multiply
    505,372x = 1,099,832 × 1,099,832
  4. Step 4: Simplify right side
    505,372x = 1,209,630,428,224
  5. Step 5: Solve for x
    x = 1,209,630,428,224/505,372
  6. Step 6: Final answer
    x = 2,393,544.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.