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Finding the Third Proportional to 725,579 and 1,694,345

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Solution

The third proportional to 725,579 and 1,694,345 is: 3,956,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,579 : 1,694,345 = 1,694,345 : x
  2. Step 2: Convert to fraction form
    725,579/1,694,345 = 1,694,345/x
  3. Step 3: Cross multiply
    725,579x = 1,694,345 × 1,694,345
  4. Step 4: Simplify right side
    725,579x = 2,870,804,979,025
  5. Step 5: Solve for x
    x = 2,870,804,979,025/725,579
  6. Step 6: Final answer
    x = 3,956,571.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.