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Finding the Third Proportional to 422,373.50 and 919,108

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Solution

The third proportional to 422,373.50 and 919,108 is: 2,000,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,373.50 : 919,108 = 919,108 : x
  2. Step 2: Convert to fraction form
    422,373.50/919,108 = 919,108/x
  3. Step 3: Cross multiply
    422,373.50x = 919,108 × 919,108
  4. Step 4: Simplify right side
    422,373.50x = 844,759,515,664
  5. Step 5: Solve for x
    x = 844,759,515,664/422,373.50
  6. Step 6: Final answer
    x = 2,000,029.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.