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Finding the Third Proportional to 667,430 and 1,033,149

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Solution

The third proportional to 667,430 and 1,033,149 is: 1,599,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,430 : 1,033,149 = 1,033,149 : x
  2. Step 2: Convert to fraction form
    667,430/1,033,149 = 1,033,149/x
  3. Step 3: Cross multiply
    667,430x = 1,033,149 × 1,033,149
  4. Step 4: Simplify right side
    667,430x = 1,067,396,856,201
  5. Step 5: Solve for x
    x = 1,067,396,856,201/667,430
  6. Step 6: Final answer
    x = 1,599,264.13

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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.