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Finding the Third Proportional to 733,934 and 1,214,682

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Solution

The third proportional to 733,934 and 1,214,682 is: 2,010,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,934 : 1,214,682 = 1,214,682 : x
  2. Step 2: Convert to fraction form
    733,934/1,214,682 = 1,214,682/x
  3. Step 3: Cross multiply
    733,934x = 1,214,682 × 1,214,682
  4. Step 4: Simplify right side
    733,934x = 1,475,452,361,124
  5. Step 5: Solve for x
    x = 1,475,452,361,124/733,934
  6. Step 6: Final answer
    x = 2,010,333.85

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.