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Finding the Third Proportional to 605,743 and 1,321,512

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Solution

The third proportional to 605,743 and 1,321,512 is: 2,883,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,743 : 1,321,512 = 1,321,512 : x
  2. Step 2: Convert to fraction form
    605,743/1,321,512 = 1,321,512/x
  3. Step 3: Cross multiply
    605,743x = 1,321,512 × 1,321,512
  4. Step 4: Simplify right side
    605,743x = 1,746,393,966,144
  5. Step 5: Solve for x
    x = 1,746,393,966,144/605,743
  6. Step 6: Final answer
    x = 2,883,060.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.