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Finding the Third Proportional to 875,823 and 1,330,183.50

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Solution

The third proportional to 875,823 and 1,330,183.50 is: 2,020,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,823 : 1,330,183.50 = 1,330,183.50 : x
  2. Step 2: Convert to fraction form
    875,823/1,330,183.50 = 1,330,183.50/x
  3. Step 3: Cross multiply
    875,823x = 1,330,183.50 × 1,330,183.50
  4. Step 4: Simplify right side
    875,823x = 1,769,388,143,672.25
  5. Step 5: Solve for x
    x = 1,769,388,143,672.25/875,823
  6. Step 6: Final answer
    x = 2,020,257.68

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