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Finding the Third Proportional to 2,839,051 and 4,292,451

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Solution

The third proportional to 2,839,051 and 4,292,451 is: 6,489,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,051 : 4,292,451 = 4,292,451 : x
  2. Step 2: Convert to fraction form
    2,839,051/4,292,451 = 4,292,451/x
  3. Step 3: Cross multiply
    2,839,051x = 4,292,451 × 4,292,451
  4. Step 4: Simplify right side
    2,839,051x = 18,425,135,587,401
  5. Step 5: Solve for x
    x = 18,425,135,587,401/2,839,051
  6. Step 6: Final answer
    x = 6,489,892.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.