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Finding the Third Proportional to 667,431 and 1,382,176

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Solution

The third proportional to 667,431 and 1,382,176 is: 2,862,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,431 : 1,382,176 = 1,382,176 : x
  2. Step 2: Convert to fraction form
    667,431/1,382,176 = 1,382,176/x
  3. Step 3: Cross multiply
    667,431x = 1,382,176 × 1,382,176
  4. Step 4: Simplify right side
    667,431x = 1,910,410,494,976
  5. Step 5: Solve for x
    x = 1,910,410,494,976/667,431
  6. Step 6: Final answer
    x = 2,862,334.08

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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.