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Finding the Third Proportional to 667,444 and 1,382,206

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Solution

The third proportional to 667,444 and 1,382,206 is: 2,862,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,444 : 1,382,206 = 1,382,206 : x
  2. Step 2: Convert to fraction form
    667,444/1,382,206 = 1,382,206/x
  3. Step 3: Cross multiply
    667,444x = 1,382,206 × 1,382,206
  4. Step 4: Simplify right side
    667,444x = 1,910,493,426,436
  5. Step 5: Solve for x
    x = 1,910,493,426,436/667,444
  6. Step 6: Final answer
    x = 2,862,402.58

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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.