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Finding the Third Proportional to 2,861,625 and 6,064,421

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Solution

The third proportional to 2,861,625 and 6,064,421 is: 12,851,859.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861,625 : 6,064,421 = 6,064,421 : x
  2. Step 2: Convert to fraction form
    2,861,625/6,064,421 = 6,064,421/x
  3. Step 3: Cross multiply
    2,861,625x = 6,064,421 × 6,064,421
  4. Step 4: Simplify right side
    2,861,625x = 36,777,202,065,241
  5. Step 5: Solve for x
    x = 36,777,202,065,241/2,861,625
  6. Step 6: Final answer
    x = 12,851,859.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.