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Finding the Third Proportional to 829,183.50 and 1,758,012

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Solution

The third proportional to 829,183.50 and 1,758,012 is: 3,727,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,183.50 : 1,758,012 = 1,758,012 : x
  2. Step 2: Convert to fraction form
    829,183.50/1,758,012 = 1,758,012/x
  3. Step 3: Cross multiply
    829,183.50x = 1,758,012 × 1,758,012
  4. Step 4: Simplify right side
    829,183.50x = 3,090,606,192,144
  5. Step 5: Solve for x
    x = 3,090,606,192,144/829,183.50
  6. Step 6: Final answer
    x = 3,727,288.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.