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Finding the Third Proportional to 726,241 and 1,552,544

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Solution

The third proportional to 726,241 and 1,552,544 is: 3,318,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,241 : 1,552,544 = 1,552,544 : x
  2. Step 2: Convert to fraction form
    726,241/1,552,544 = 1,552,544/x
  3. Step 3: Cross multiply
    726,241x = 1,552,544 × 1,552,544
  4. Step 4: Simplify right side
    726,241x = 2,410,392,871,936
  5. Step 5: Solve for x
    x = 2,410,392,871,936/726,241
  6. Step 6: Final answer
    x = 3,318,998.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.