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Finding the Third Proportional to 667,427 and 1,382,169

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Solution

The third proportional to 667,427 and 1,382,169 is: 2,862,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,427 : 1,382,169 = 1,382,169 : x
  2. Step 2: Convert to fraction form
    667,427/1,382,169 = 1,382,169/x
  3. Step 3: Cross multiply
    667,427x = 1,382,169 × 1,382,169
  4. Step 4: Simplify right side
    667,427x = 1,910,391,144,561
  5. Step 5: Solve for x
    x = 1,910,391,144,561/667,427
  6. Step 6: Final answer
    x = 2,862,322.24

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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.