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Finding the Third Proportional to 3,919,200 and 8,398,272

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Solution

The third proportional to 3,919,200 and 8,398,272 is: 17,996,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919,200 : 8,398,272 = 8,398,272 : x
  2. Step 2: Convert to fraction form
    3,919,200/8,398,272 = 8,398,272/x
  3. Step 3: Cross multiply
    3,919,200x = 8,398,272 × 8,398,272
  4. Step 4: Simplify right side
    3,919,200x = 70,530,972,585,984
  5. Step 5: Solve for x
    x = 70,530,972,585,984/3,919,200
  6. Step 6: Final answer
    x = 17,996,267.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.