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Finding the Third Proportional to 986,223 and 1,336,450

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Solution

The third proportional to 986,223 and 1,336,450 is: 1,811,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,223 : 1,336,450 = 1,336,450 : x
  2. Step 2: Convert to fraction form
    986,223/1,336,450 = 1,336,450/x
  3. Step 3: Cross multiply
    986,223x = 1,336,450 × 1,336,450
  4. Step 4: Simplify right side
    986,223x = 1,786,098,602,500
  5. Step 5: Solve for x
    x = 1,786,098,602,500/986,223
  6. Step 6: Final answer
    x = 1,811,049.43

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Why These Related Problems?

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