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Finding the Third Proportional to 661,183.50 and 1,432,311

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Solution

The third proportional to 661,183.50 and 1,432,311 is: 3,102,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,183.50 : 1,432,311 = 1,432,311 : x
  2. Step 2: Convert to fraction form
    661,183.50/1,432,311 = 1,432,311/x
  3. Step 3: Cross multiply
    661,183.50x = 1,432,311 × 1,432,311
  4. Step 4: Simplify right side
    661,183.50x = 2,051,514,800,721
  5. Step 5: Solve for x
    x = 2,051,514,800,721/661,183.50
  6. Step 6: Final answer
    x = 3,102,791.89

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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.