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Finding the Third Proportional to 561,832 and 1,238,183

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Solution

The third proportional to 561,832 and 1,238,183 is: 2,728,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,832 : 1,238,183 = 1,238,183 : x
  2. Step 2: Convert to fraction form
    561,832/1,238,183 = 1,238,183/x
  3. Step 3: Cross multiply
    561,832x = 1,238,183 × 1,238,183
  4. Step 4: Simplify right side
    561,832x = 1,533,097,141,489
  5. Step 5: Solve for x
    x = 1,533,097,141,489/561,832
  6. Step 6: Final answer
    x = 2,728,746.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.