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Finding the Third Proportional to 1,027,749 and 2,212,974

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Solution

The third proportional to 1,027,749 and 2,212,974 is: 4,765,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,749 : 2,212,974 = 2,212,974 : x
  2. Step 2: Convert to fraction form
    1,027,749/2,212,974 = 2,212,974/x
  3. Step 3: Cross multiply
    1,027,749x = 2,212,974 × 2,212,974
  4. Step 4: Simplify right side
    1,027,749x = 4,897,253,924,676
  5. Step 5: Solve for x
    x = 4,897,253,924,676/1,027,749
  6. Step 6: Final answer
    x = 4,765,029.13

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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.