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Finding the Third Proportional to 633,938 and 1,297,026

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Solution

The third proportional to 633,938 and 1,297,026 is: 2,653,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,938 : 1,297,026 = 1,297,026 : x
  2. Step 2: Convert to fraction form
    633,938/1,297,026 = 1,297,026/x
  3. Step 3: Cross multiply
    633,938x = 1,297,026 × 1,297,026
  4. Step 4: Simplify right side
    633,938x = 1,682,276,444,676
  5. Step 5: Solve for x
    x = 1,682,276,444,676/633,938
  6. Step 6: Final answer
    x = 2,653,692.39

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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.