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Finding the Third Proportional to 617,544 and 923,708

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Solution

The third proportional to 617,544 and 923,708 is: 1,381,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,544 : 923,708 = 923,708 : x
  2. Step 2: Convert to fraction form
    617,544/923,708 = 923,708/x
  3. Step 3: Cross multiply
    617,544x = 923,708 × 923,708
  4. Step 4: Simplify right side
    617,544x = 853,236,469,264
  5. Step 5: Solve for x
    x = 853,236,469,264/617,544
  6. Step 6: Final answer
    x = 1,381,661.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.