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Finding the Third Proportional to 1,206,687.38 and 1,770,582.80

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Solution

The third proportional to 1,206,687.38 and 1,770,582.80 is: 2,597,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,687.38 : 1,770,582.80 = 1,770,582.80 : x
  2. Step 2: Convert to fraction form
    1,206,687.38/1,770,582.80 = 1,770,582.80/x
  3. Step 3: Cross multiply
    1,206,687.38x = 1,770,582.80 × 1,770,582.80
  4. Step 4: Simplify right side
    1,206,687.38x = 3,134,963,440,589.70
  5. Step 5: Solve for x
    x = 3,134,963,440,589.70/1,206,687.38
  6. Step 6: Final answer
    x = 2,597,991.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.