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Finding the Third Proportional to 667,419 and 1,033,133

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Solution

The third proportional to 667,419 and 1,033,133 is: 1,599,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,419 : 1,033,133 = 1,033,133 : x
  2. Step 2: Convert to fraction form
    667,419/1,033,133 = 1,033,133/x
  3. Step 3: Cross multiply
    667,419x = 1,033,133 × 1,033,133
  4. Step 4: Simplify right side
    667,419x = 1,067,363,795,689
  5. Step 5: Solve for x
    x = 1,067,363,795,689/667,419
  6. Step 6: Final answer
    x = 1,599,240.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.