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Finding the Third Proportional to 349,110 and 839,727

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Solution

The third proportional to 349,110 and 839,727 is: 2,019,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,110 : 839,727 = 839,727 : x
  2. Step 2: Convert to fraction form
    349,110/839,727 = 839,727/x
  3. Step 3: Cross multiply
    349,110x = 839,727 × 839,727
  4. Step 4: Simplify right side
    349,110x = 705,141,434,529
  5. Step 5: Solve for x
    x = 705,141,434,529/349,110
  6. Step 6: Final answer
    x = 2,019,825.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.