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Finding the Third Proportional to 800,064 and 1,749,573

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Solution

The third proportional to 800,064 and 1,749,573 is: 3,825,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,064 : 1,749,573 = 1,749,573 : x
  2. Step 2: Convert to fraction form
    800,064/1,749,573 = 1,749,573/x
  3. Step 3: Cross multiply
    800,064x = 1,749,573 × 1,749,573
  4. Step 4: Simplify right side
    800,064x = 3,061,005,682,329
  5. Step 5: Solve for x
    x = 3,061,005,682,329/800,064
  6. Step 6: Final answer
    x = 3,825,951.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.