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Finding the Third Proportional to 769,004 and 1,682,761

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Solution

The third proportional to 769,004 and 1,682,761 is: 3,682,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,004 : 1,682,761 = 1,682,761 : x
  2. Step 2: Convert to fraction form
    769,004/1,682,761 = 1,682,761/x
  3. Step 3: Cross multiply
    769,004x = 1,682,761 × 1,682,761
  4. Step 4: Simplify right side
    769,004x = 2,831,684,583,121
  5. Step 5: Solve for x
    x = 2,831,684,583,121/769,004
  6. Step 6: Final answer
    x = 3,682,275.49

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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.