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Finding the Third Proportional to 3,212,946 and 4,283,451

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Solution

The third proportional to 3,212,946 and 4,283,451 is: 5,710,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,946 : 4,283,451 = 4,283,451 : x
  2. Step 2: Convert to fraction form
    3,212,946/4,283,451 = 4,283,451/x
  3. Step 3: Cross multiply
    3,212,946x = 4,283,451 × 4,283,451
  4. Step 4: Simplify right side
    3,212,946x = 18,347,952,469,401
  5. Step 5: Solve for x
    x = 18,347,952,469,401/3,212,946
  6. Step 6: Final answer
    x = 5,710,632.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.