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Finding the Third Proportional to 1,022,031 and 2,149,992

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Solution

The third proportional to 1,022,031 and 2,149,992 is: 4,522,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,031 : 2,149,992 = 2,149,992 : x
  2. Step 2: Convert to fraction form
    1,022,031/2,149,992 = 2,149,992/x
  3. Step 3: Cross multiply
    1,022,031x = 2,149,992 × 2,149,992
  4. Step 4: Simplify right side
    1,022,031x = 4,622,465,600,064
  5. Step 5: Solve for x
    x = 4,622,465,600,064/1,022,031
  6. Step 6: Final answer
    x = 4,522,823.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.