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Finding the Third Proportional to 905,100.75 and 1,983,019.50

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Solution

The third proportional to 905,100.75 and 1,983,019.50 is: 4,344,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,100.75 : 1,983,019.50 = 1,983,019.50 : x
  2. Step 2: Convert to fraction form
    905,100.75/1,983,019.50 = 1,983,019.50/x
  3. Step 3: Cross multiply
    905,100.75x = 1,983,019.50 × 1,983,019.50
  4. Step 4: Simplify right side
    905,100.75x = 3,932,366,337,380.25
  5. Step 5: Solve for x
    x = 3,932,366,337,380.25/905,100.75
  6. Step 6: Final answer
    x = 4,344,672.50

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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.