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Finding the Third Proportional to 921,760 and 1,917,096

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Solution

The third proportional to 921,760 and 1,917,096 is: 3,987,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,760 : 1,917,096 = 1,917,096 : x
  2. Step 2: Convert to fraction form
    921,760/1,917,096 = 1,917,096/x
  3. Step 3: Cross multiply
    921,760x = 1,917,096 × 1,917,096
  4. Step 4: Simplify right side
    921,760x = 3,675,257,073,216
  5. Step 5: Solve for x
    x = 3,675,257,073,216/921,760
  6. Step 6: Final answer
    x = 3,987,216.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.