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Finding the Third Proportional to 894,780 and 1,355,193

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Solution

The third proportional to 894,780 and 1,355,193 is: 2,052,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,780 : 1,355,193 = 1,355,193 : x
  2. Step 2: Convert to fraction form
    894,780/1,355,193 = 1,355,193/x
  3. Step 3: Cross multiply
    894,780x = 1,355,193 × 1,355,193
  4. Step 4: Simplify right side
    894,780x = 1,836,548,067,249
  5. Step 5: Solve for x
    x = 1,836,548,067,249/894,780
  6. Step 6: Final answer
    x = 2,052,513.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.