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Finding the Third Proportional to 2,771,642 and 4,061,451

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Solution

The third proportional to 2,771,642 and 4,061,451 is: 5,951,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,642 : 4,061,451 = 4,061,451 : x
  2. Step 2: Convert to fraction form
    2,771,642/4,061,451 = 4,061,451/x
  3. Step 3: Cross multiply
    2,771,642x = 4,061,451 × 4,061,451
  4. Step 4: Simplify right side
    2,771,642x = 16,495,384,225,401
  5. Step 5: Solve for x
    x = 16,495,384,225,401/2,771,642
  6. Step 6: Final answer
    x = 5,951,484.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.