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Finding the Third Proportional to 488,923.50 and 1,082,823

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Solution

The third proportional to 488,923.50 and 1,082,823 is: 2,398,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,923.50 : 1,082,823 = 1,082,823 : x
  2. Step 2: Convert to fraction form
    488,923.50/1,082,823 = 1,082,823/x
  3. Step 3: Cross multiply
    488,923.50x = 1,082,823 × 1,082,823
  4. Step 4: Simplify right side
    488,923.50x = 1,172,505,649,329
  5. Step 5: Solve for x
    x = 1,172,505,649,329/488,923.50
  6. Step 6: Final answer
    x = 2,398,137.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.