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Finding the Third Proportional to 2,128,016 and 2,986,029

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Solution

The third proportional to 2,128,016 and 2,986,029 is: 4,189,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,016 : 2,986,029 = 2,986,029 : x
  2. Step 2: Convert to fraction form
    2,128,016/2,986,029 = 2,986,029/x
  3. Step 3: Cross multiply
    2,128,016x = 2,986,029 × 2,986,029
  4. Step 4: Simplify right side
    2,128,016x = 8,916,369,188,841
  5. Step 5: Solve for x
    x = 8,916,369,188,841/2,128,016
  6. Step 6: Final answer
    x = 4,189,991.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.