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Finding the Third Proportional to 548,450 and 1,222,932

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Solution

The third proportional to 548,450 and 1,222,932 is: 2,726,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,450 : 1,222,932 = 1,222,932 : x
  2. Step 2: Convert to fraction form
    548,450/1,222,932 = 1,222,932/x
  3. Step 3: Cross multiply
    548,450x = 1,222,932 × 1,222,932
  4. Step 4: Simplify right side
    548,450x = 1,495,562,676,624
  5. Step 5: Solve for x
    x = 1,495,562,676,624/548,450
  6. Step 6: Final answer
    x = 2,726,889.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.