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Finding the Third Proportional to 420,936 and 641,910

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Solution

The third proportional to 420,936 and 641,910 is: 978,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,936 : 641,910 = 641,910 : x
  2. Step 2: Convert to fraction form
    420,936/641,910 = 641,910/x
  3. Step 3: Cross multiply
    420,936x = 641,910 × 641,910
  4. Step 4: Simplify right side
    420,936x = 412,048,448,100
  5. Step 5: Solve for x
    x = 412,048,448,100/420,936
  6. Step 6: Final answer
    x = 978,886.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.