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Finding the Third Proportional to 1,400,401 and 2,113,458

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Solution

The third proportional to 1,400,401 and 2,113,458 is: 3,189,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,401 : 2,113,458 = 2,113,458 : x
  2. Step 2: Convert to fraction form
    1,400,401/2,113,458 = 2,113,458/x
  3. Step 3: Cross multiply
    1,400,401x = 2,113,458 × 2,113,458
  4. Step 4: Simplify right side
    1,400,401x = 4,466,704,717,764
  5. Step 5: Solve for x
    x = 4,466,704,717,764/1,400,401
  6. Step 6: Final answer
    x = 3,189,589.78

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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.