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Finding the Third Proportional to 557,008 and 1,189,183

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Solution

The third proportional to 557,008 and 1,189,183 is: 2,538,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,008 : 1,189,183 = 1,189,183 : x
  2. Step 2: Convert to fraction form
    557,008/1,189,183 = 1,189,183/x
  3. Step 3: Cross multiply
    557,008x = 1,189,183 × 1,189,183
  4. Step 4: Simplify right side
    557,008x = 1,414,156,207,489
  5. Step 5: Solve for x
    x = 1,414,156,207,489/557,008
  6. Step 6: Final answer
    x = 2,538,843.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.