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Finding the Third Proportional to 1,021,672 and 2,072,512

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Solution

The third proportional to 1,021,672 and 2,072,512 is: 4,204,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,672 : 2,072,512 = 2,072,512 : x
  2. Step 2: Convert to fraction form
    1,021,672/2,072,512 = 2,072,512/x
  3. Step 3: Cross multiply
    1,021,672x = 2,072,512 × 2,072,512
  4. Step 4: Simplify right side
    1,021,672x = 4,295,305,990,144
  5. Step 5: Solve for x
    x = 4,295,305,990,144/1,021,672
  6. Step 6: Final answer
    x = 4,204,192.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.