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Finding the Third Proportional to 1,902,468 and 3,962,400

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Solution

The third proportional to 1,902,468 and 3,962,400 is: 8,252,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,468 : 3,962,400 = 3,962,400 : x
  2. Step 2: Convert to fraction form
    1,902,468/3,962,400 = 3,962,400/x
  3. Step 3: Cross multiply
    1,902,468x = 3,962,400 × 3,962,400
  4. Step 4: Simplify right side
    1,902,468x = 15,700,613,760,000
  5. Step 5: Solve for x
    x = 15,700,613,760,000/1,902,468
  6. Step 6: Final answer
    x = 8,252,761.02

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.