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Finding the Third Proportional to 606,743 and 1,348,163

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Solution

The third proportional to 606,743 and 1,348,163 is: 2,995,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,743 : 1,348,163 = 1,348,163 : x
  2. Step 2: Convert to fraction form
    606,743/1,348,163 = 1,348,163/x
  3. Step 3: Cross multiply
    606,743x = 1,348,163 × 1,348,163
  4. Step 4: Simplify right side
    606,743x = 1,817,543,474,569
  5. Step 5: Solve for x
    x = 1,817,543,474,569/606,743
  6. Step 6: Final answer
    x = 2,995,573.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.