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Finding the Third Proportional to 810,152 and 1,786,192

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Solution

The third proportional to 810,152 and 1,786,192 is: 3,938,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,152 : 1,786,192 = 1,786,192 : x
  2. Step 2: Convert to fraction form
    810,152/1,786,192 = 1,786,192/x
  3. Step 3: Cross multiply
    810,152x = 1,786,192 × 1,786,192
  4. Step 4: Simplify right side
    810,152x = 3,190,481,860,864
  5. Step 5: Solve for x
    x = 3,190,481,860,864/810,152
  6. Step 6: Final answer
    x = 3,938,127.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.