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Finding the Third Proportional to 1,016,728 and 2,191,041

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Solution

The third proportional to 1,016,728 and 2,191,041 is: 4,721,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,728 : 2,191,041 = 2,191,041 : x
  2. Step 2: Convert to fraction form
    1,016,728/2,191,041 = 2,191,041/x
  3. Step 3: Cross multiply
    1,016,728x = 2,191,041 × 2,191,041
  4. Step 4: Simplify right side
    1,016,728x = 4,800,660,663,681
  5. Step 5: Solve for x
    x = 4,800,660,663,681/1,016,728
  6. Step 6: Final answer
    x = 4,721,676.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.