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Finding the Third Proportional to 800,977.50 and 1,749,658.50

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Solution

The third proportional to 800,977.50 and 1,749,658.50 is: 3,821,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,977.50 : 1,749,658.50 = 1,749,658.50 : x
  2. Step 2: Convert to fraction form
    800,977.50/1,749,658.50 = 1,749,658.50/x
  3. Step 3: Cross multiply
    800,977.50x = 1,749,658.50 × 1,749,658.50
  4. Step 4: Simplify right side
    800,977.50x = 3,061,304,866,622.25
  5. Step 5: Solve for x
    x = 3,061,304,866,622.25/800,977.50
  6. Step 6: Final answer
    x = 3,821,961.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.