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Finding the Third Proportional to 2,857,450 and 3,891,309

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Solution

The third proportional to 2,857,450 and 3,891,309 is: 5,299,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,450 : 3,891,309 = 3,891,309 : x
  2. Step 2: Convert to fraction form
    2,857,450/3,891,309 = 3,891,309/x
  3. Step 3: Cross multiply
    2,857,450x = 3,891,309 × 3,891,309
  4. Step 4: Simplify right side
    2,857,450x = 15,142,285,733,481
  5. Step 5: Solve for x
    x = 15,142,285,733,481/2,857,450
  6. Step 6: Final answer
    x = 5,299,230.34

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.