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Finding the Third Proportional to 2,882,578 and 6,272,540

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Solution

The third proportional to 2,882,578 and 6,272,540 is: 13,649,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882,578 : 6,272,540 = 6,272,540 : x
  2. Step 2: Convert to fraction form
    2,882,578/6,272,540 = 6,272,540/x
  3. Step 3: Cross multiply
    2,882,578x = 6,272,540 × 6,272,540
  4. Step 4: Simplify right side
    2,882,578x = 39,344,758,051,600
  5. Step 5: Solve for x
    x = 39,344,758,051,600/2,882,578
  6. Step 6: Final answer
    x = 13,649,156.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.