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Finding the Third Proportional to 789,021.75 and 1,703,940.75

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Solution

The third proportional to 789,021.75 and 1,703,940.75 is: 3,679,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,021.75 : 1,703,940.75 = 1,703,940.75 : x
  2. Step 2: Convert to fraction form
    789,021.75/1,703,940.75 = 1,703,940.75/x
  3. Step 3: Cross multiply
    789,021.75x = 1,703,940.75 × 1,703,940.75
  4. Step 4: Simplify right side
    789,021.75x = 2,903,414,079,510.56
  5. Step 5: Solve for x
    x = 2,903,414,079,510.56/789,021.75
  6. Step 6: Final answer
    x = 3,679,764.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.