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Finding the Third Proportional to 1,449,922 and 3,411,697

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Solution

The third proportional to 1,449,922 and 3,411,697 is: 8,027,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,922 : 3,411,697 = 3,411,697 : x
  2. Step 2: Convert to fraction form
    1,449,922/3,411,697 = 3,411,697/x
  3. Step 3: Cross multiply
    1,449,922x = 3,411,697 × 3,411,697
  4. Step 4: Simplify right side
    1,449,922x = 11,639,676,419,809
  5. Step 5: Solve for x
    x = 11,639,676,419,809/1,449,922
  6. Step 6: Final answer
    x = 8,027,794.89

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.