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Finding the Third Proportional to 667,426.08 and 1,382,166.91

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Solution

The third proportional to 667,426.08 and 1,382,166.91 is: 2,862,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,426.08 : 1,382,166.91 = 1,382,166.91 : x
  2. Step 2: Convert to fraction form
    667,426.08/1,382,166.91 = 1,382,166.91/x
  3. Step 3: Cross multiply
    667,426.08x = 1,382,166.91 × 1,382,166.91
  4. Step 4: Simplify right side
    667,426.08x = 1,910,385,378,329.05
  5. Step 5: Solve for x
    x = 1,910,385,378,329.05/667,426.08
  6. Step 6: Final answer
    x = 2,862,317.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.