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Finding the Third Proportional to 579,866 and 1,176,036

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Solution

The third proportional to 579,866 and 1,176,036 is: 2,385,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,866 : 1,176,036 = 1,176,036 : x
  2. Step 2: Convert to fraction form
    579,866/1,176,036 = 1,176,036/x
  3. Step 3: Cross multiply
    579,866x = 1,176,036 × 1,176,036
  4. Step 4: Simplify right side
    579,866x = 1,383,060,673,296
  5. Step 5: Solve for x
    x = 1,383,060,673,296/579,866
  6. Step 6: Final answer
    x = 2,385,138.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.