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Finding the Third Proportional to 940,183.75 and 1,432,314.50

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Solution

The third proportional to 940,183.75 and 1,432,314.50 is: 2,182,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,183.75 : 1,432,314.50 = 1,432,314.50 : x
  2. Step 2: Convert to fraction form
    940,183.75/1,432,314.50 = 1,432,314.50/x
  3. Step 3: Cross multiply
    940,183.75x = 1,432,314.50 × 1,432,314.50
  4. Step 4: Simplify right side
    940,183.75x = 2,051,524,826,910.25
  5. Step 5: Solve for x
    x = 2,051,524,826,910.25/940,183.75
  6. Step 6: Final answer
    x = 2,182,046.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.