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Finding the Third Proportional to 927,450 and 1,954,530

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Solution

The third proportional to 927,450 and 1,954,530 is: 4,119,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,450 : 1,954,530 = 1,954,530 : x
  2. Step 2: Convert to fraction form
    927,450/1,954,530 = 1,954,530/x
  3. Step 3: Cross multiply
    927,450x = 1,954,530 × 1,954,530
  4. Step 4: Simplify right side
    927,450x = 3,820,187,520,900
  5. Step 5: Solve for x
    x = 3,820,187,520,900/927,450
  6. Step 6: Final answer
    x = 4,119,022.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.