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Finding the Third Proportional to 778,803.75 and 1,690,467.75

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Solution

The third proportional to 778,803.75 and 1,690,467.75 is: 3,669,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,803.75 : 1,690,467.75 = 1,690,467.75 : x
  2. Step 2: Convert to fraction form
    778,803.75/1,690,467.75 = 1,690,467.75/x
  3. Step 3: Cross multiply
    778,803.75x = 1,690,467.75 × 1,690,467.75
  4. Step 4: Simplify right side
    778,803.75x = 2,857,681,213,790.06
  5. Step 5: Solve for x
    x = 2,857,681,213,790.06/778,803.75
  6. Step 6: Final answer
    x = 3,669,321.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.