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Finding the Third Proportional to 633,933 and 1,297,017

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Solution

The third proportional to 633,933 and 1,297,017 is: 2,653,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,933 : 1,297,017 = 1,297,017 : x
  2. Step 2: Convert to fraction form
    633,933/1,297,017 = 1,297,017/x
  3. Step 3: Cross multiply
    633,933x = 1,297,017 × 1,297,017
  4. Step 4: Simplify right side
    633,933x = 1,682,253,098,289
  5. Step 5: Solve for x
    x = 1,682,253,098,289/633,933
  6. Step 6: Final answer
    x = 2,653,676.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.