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Finding the Third Proportional to 411,601 and 901,910

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Solution

The third proportional to 411,601 and 901,910 is: 1,976,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,601 : 901,910 = 901,910 : x
  2. Step 2: Convert to fraction form
    411,601/901,910 = 901,910/x
  3. Step 3: Cross multiply
    411,601x = 901,910 × 901,910
  4. Step 4: Simplify right side
    411,601x = 813,441,648,100
  5. Step 5: Solve for x
    x = 813,441,648,100/411,601
  6. Step 6: Final answer
    x = 1,976,286.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.