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Finding the Third Proportional to 1,635,986 and 3,499,420

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Solution

The third proportional to 1,635,986 and 3,499,420 is: 7,485,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,986 : 3,499,420 = 3,499,420 : x
  2. Step 2: Convert to fraction form
    1,635,986/3,499,420 = 3,499,420/x
  3. Step 3: Cross multiply
    1,635,986x = 3,499,420 × 3,499,420
  4. Step 4: Simplify right side
    1,635,986x = 12,245,940,336,400
  5. Step 5: Solve for x
    x = 12,245,940,336,400/1,635,986
  6. Step 6: Final answer
    x = 7,485,357.66

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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.