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Finding the Third Proportional to 3,068,914 and 4,646,016

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Solution

The third proportional to 3,068,914 and 4,646,016 is: 7,033,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068,914 : 4,646,016 = 4,646,016 : x
  2. Step 2: Convert to fraction form
    3,068,914/4,646,016 = 4,646,016/x
  3. Step 3: Cross multiply
    3,068,914x = 4,646,016 × 4,646,016
  4. Step 4: Simplify right side
    3,068,914x = 21,585,464,672,256
  5. Step 5: Solve for x
    x = 21,585,464,672,256/3,068,914
  6. Step 6: Final answer
    x = 7,033,584.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.