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Finding the Third Proportional to 796,520 and 1,261,866

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Solution

The third proportional to 796,520 and 1,261,866 is: 1,999,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,520 : 1,261,866 = 1,261,866 : x
  2. Step 2: Convert to fraction form
    796,520/1,261,866 = 1,261,866/x
  3. Step 3: Cross multiply
    796,520x = 1,261,866 × 1,261,866
  4. Step 4: Simplify right side
    796,520x = 1,592,305,801,956
  5. Step 5: Solve for x
    x = 1,592,305,801,956/796,520
  6. Step 6: Final answer
    x = 1,999,078.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.