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Finding the Third Proportional to 904,623 and 1,902,234

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Solution

The third proportional to 904,623 and 1,902,234 is: 4,000,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,623 : 1,902,234 = 1,902,234 : x
  2. Step 2: Convert to fraction form
    904,623/1,902,234 = 1,902,234/x
  3. Step 3: Cross multiply
    904,623x = 1,902,234 × 1,902,234
  4. Step 4: Simplify right side
    904,623x = 3,618,494,190,756
  5. Step 5: Solve for x
    x = 3,618,494,190,756/904,623
  6. Step 6: Final answer
    x = 4,000,002.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.