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Finding the Third Proportional to 2,895,266 and 6,361,582

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Solution

The third proportional to 2,895,266 and 6,361,582 is: 13,977,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895,266 : 6,361,582 = 6,361,582 : x
  2. Step 2: Convert to fraction form
    2,895,266/6,361,582 = 6,361,582/x
  3. Step 3: Cross multiply
    2,895,266x = 6,361,582 × 6,361,582
  4. Step 4: Simplify right side
    2,895,266x = 40,469,725,542,724
  5. Step 5: Solve for x
    x = 40,469,725,542,724/2,895,266
  6. Step 6: Final answer
    x = 13,977,895.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.