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Finding the Third Proportional to 733,910 and 1,033,503

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Solution

The third proportional to 733,910 and 1,033,503 is: 1,455,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,910 : 1,033,503 = 1,033,503 : x
  2. Step 2: Convert to fraction form
    733,910/1,033,503 = 1,033,503/x
  3. Step 3: Cross multiply
    733,910x = 1,033,503 × 1,033,503
  4. Step 4: Simplify right side
    733,910x = 1,068,128,451,009
  5. Step 5: Solve for x
    x = 1,068,128,451,009/733,910
  6. Step 6: Final answer
    x = 1,455,394.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.