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Finding the Third Proportional to 600,744 and 839,880

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Solution

The third proportional to 600,744 and 839,880 is: 1,174,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,744 : 839,880 = 839,880 : x
  2. Step 2: Convert to fraction form
    600,744/839,880 = 839,880/x
  3. Step 3: Cross multiply
    600,744x = 839,880 × 839,880
  4. Step 4: Simplify right side
    600,744x = 705,398,414,400
  5. Step 5: Solve for x
    x = 705,398,414,400/600,744
  6. Step 6: Final answer
    x = 1,174,208.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.