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Finding the Third Proportional to 397,110 and 856,424

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Solution

The third proportional to 397,110 and 856,424 is: 1,846,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,110 : 856,424 = 856,424 : x
  2. Step 2: Convert to fraction form
    397,110/856,424 = 856,424/x
  3. Step 3: Cross multiply
    397,110x = 856,424 × 856,424
  4. Step 4: Simplify right side
    397,110x = 733,462,067,776
  5. Step 5: Solve for x
    x = 733,462,067,776/397,110
  6. Step 6: Final answer
    x = 1,846,999.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.