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Finding the Third Proportional to 769,008.94 and 1,682,835.75

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Solution

The third proportional to 769,008.94 and 1,682,835.75 is: 3,682,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,008.94 : 1,682,835.75 = 1,682,835.75 : x
  2. Step 2: Convert to fraction form
    769,008.94/1,682,835.75 = 1,682,835.75/x
  3. Step 3: Cross multiply
    769,008.94x = 1,682,835.75 × 1,682,835.75
  4. Step 4: Simplify right side
    769,008.94x = 2,831,936,161,478.06
  5. Step 5: Solve for x
    x = 2,831,936,161,478.06/769,008.94
  6. Step 6: Final answer
    x = 3,682,579.00

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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.