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Finding the Third Proportional to 667,429 and 1,382,173

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Solution

The third proportional to 667,429 and 1,382,173 is: 2,862,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,429 : 1,382,173 = 1,382,173 : x
  2. Step 2: Convert to fraction form
    667,429/1,382,173 = 1,382,173/x
  3. Step 3: Cross multiply
    667,429x = 1,382,173 × 1,382,173
  4. Step 4: Simplify right side
    667,429x = 1,910,402,201,929
  5. Step 5: Solve for x
    x = 1,910,402,201,929/667,429
  6. Step 6: Final answer
    x = 2,862,330.23

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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.