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Finding the Third Proportional to 441,474.75 and 922,922.25

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Solution

The third proportional to 441,474.75 and 922,922.25 is: 1,929,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,474.75 : 922,922.25 = 922,922.25 : x
  2. Step 2: Convert to fraction form
    441,474.75/922,922.25 = 922,922.25/x
  3. Step 3: Cross multiply
    441,474.75x = 922,922.25 × 922,922.25
  4. Step 4: Simplify right side
    441,474.75x = 851,785,479,545.06
  5. Step 5: Solve for x
    x = 851,785,479,545.06/441,474.75
  6. Step 6: Final answer
    x = 1,929,409.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.