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Finding the Third Proportional to 1,635,986 and 3,499,414

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Solution

The third proportional to 1,635,986 and 3,499,414 is: 7,485,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,986 : 3,499,414 = 3,499,414 : x
  2. Step 2: Convert to fraction form
    1,635,986/3,499,414 = 3,499,414/x
  3. Step 3: Cross multiply
    1,635,986x = 3,499,414 × 3,499,414
  4. Step 4: Simplify right side
    1,635,986x = 12,245,898,343,396
  5. Step 5: Solve for x
    x = 12,245,898,343,396/1,635,986
  6. Step 6: Final answer
    x = 7,485,331.99

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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.