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Finding the Third Proportional to 772,728 and 1,682,741

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Solution

The third proportional to 772,728 and 1,682,741 is: 3,664,442.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,728 : 1,682,741 = 1,682,741 : x
  2. Step 2: Convert to fraction form
    772,728/1,682,741 = 1,682,741/x
  3. Step 3: Cross multiply
    772,728x = 1,682,741 × 1,682,741
  4. Step 4: Simplify right side
    772,728x = 2,831,617,273,081
  5. Step 5: Solve for x
    x = 2,831,617,273,081/772,728
  6. Step 6: Final answer
    x = 3,664,442.43

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Why These Related Problems?

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