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Finding the Third Proportional to 505,872 and 1,083,861

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Solution

The third proportional to 505,872 and 1,083,861 is: 2,322,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,872 : 1,083,861 = 1,083,861 : x
  2. Step 2: Convert to fraction form
    505,872/1,083,861 = 1,083,861/x
  3. Step 3: Cross multiply
    505,872x = 1,083,861 × 1,083,861
  4. Step 4: Simplify right side
    505,872x = 1,174,754,667,321
  5. Step 5: Solve for x
    x = 1,174,754,667,321/505,872
  6. Step 6: Final answer
    x = 2,322,236.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.