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Finding the Third Proportional to 2,206,131 and 4,802,915.25

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Solution

The third proportional to 2,206,131 and 4,802,915.25 is: 10,456,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,131 : 4,802,915.25 = 4,802,915.25 : x
  2. Step 2: Convert to fraction form
    2,206,131/4,802,915.25 = 4,802,915.25/x
  3. Step 3: Cross multiply
    2,206,131x = 4,802,915.25 × 4,802,915.25
  4. Step 4: Simplify right side
    2,206,131x = 23,067,994,898,682.56
  5. Step 5: Solve for x
    x = 23,067,994,898,682.56/2,206,131
  6. Step 6: Final answer
    x = 10,456,312.39

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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.