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Finding the Third Proportional to 733,876 and 1,108,206

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Solution

The third proportional to 733,876 and 1,108,206 is: 1,673,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,876 : 1,108,206 = 1,108,206 : x
  2. Step 2: Convert to fraction form
    733,876/1,108,206 = 1,108,206/x
  3. Step 3: Cross multiply
    733,876x = 1,108,206 × 1,108,206
  4. Step 4: Simplify right side
    733,876x = 1,228,120,538,436
  5. Step 5: Solve for x
    x = 1,228,120,538,436/733,876
  6. Step 6: Final answer
    x = 1,673,471.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.