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Finding the Third Proportional to 675,102 and 1,593,642

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Solution

The third proportional to 675,102 and 1,593,642 is: 3,761,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,102 : 1,593,642 = 1,593,642 : x
  2. Step 2: Convert to fraction form
    675,102/1,593,642 = 1,593,642/x
  3. Step 3: Cross multiply
    675,102x = 1,593,642 × 1,593,642
  4. Step 4: Simplify right side
    675,102x = 2,539,694,824,164
  5. Step 5: Solve for x
    x = 2,539,694,824,164/675,102
  6. Step 6: Final answer
    x = 3,761,942.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.