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Finding the Third Proportional to 640,736 and 961,104

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Solution

The third proportional to 640,736 and 961,104 is: 1,441,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,736 : 961,104 = 961,104 : x
  2. Step 2: Convert to fraction form
    640,736/961,104 = 961,104/x
  3. Step 3: Cross multiply
    640,736x = 961,104 × 961,104
  4. Step 4: Simplify right side
    640,736x = 923,720,898,816
  5. Step 5: Solve for x
    x = 923,720,898,816/640,736
  6. Step 6: Final answer
    x = 1,441,656

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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.