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Finding the Third Proportional to 2,027,420 and 2,834,451

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Solution

The third proportional to 2,027,420 and 2,834,451 is: 3,962,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,420 : 2,834,451 = 2,834,451 : x
  2. Step 2: Convert to fraction form
    2,027,420/2,834,451 = 2,834,451/x
  3. Step 3: Cross multiply
    2,027,420x = 2,834,451 × 2,834,451
  4. Step 4: Simplify right side
    2,027,420x = 8,034,112,471,401
  5. Step 5: Solve for x
    x = 8,034,112,471,401/2,027,420
  6. Step 6: Final answer
    x = 3,962,727.25

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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.