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Finding the Third Proportional to 1,023,815 and 2,204,608

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Solution

The third proportional to 1,023,815 and 2,204,608 is: 4,747,240.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,815 : 2,204,608 = 2,204,608 : x
  2. Step 2: Convert to fraction form
    1,023,815/2,204,608 = 2,204,608/x
  3. Step 3: Cross multiply
    1,023,815x = 2,204,608 × 2,204,608
  4. Step 4: Simplify right side
    1,023,815x = 4,860,296,433,664
  5. Step 5: Solve for x
    x = 4,860,296,433,664/1,023,815
  6. Step 6: Final answer
    x = 4,747,240.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.