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Finding the Third Proportional to 769,162.50 and 1,650,079.69

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Solution

The third proportional to 769,162.50 and 1,650,079.69 is: 3,539,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,162.50 : 1,650,079.69 = 1,650,079.69 : x
  2. Step 2: Convert to fraction form
    769,162.50/1,650,079.69 = 1,650,079.69/x
  3. Step 3: Cross multiply
    769,162.50x = 1,650,079.69 × 1,650,079.69
  4. Step 4: Simplify right side
    769,162.50x = 2,722,762,975,100.10
  5. Step 5: Solve for x
    x = 2,722,762,975,100.10/769,162.50
  6. Step 6: Final answer
    x = 3,539,906.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.