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Finding the Third Proportional to 1,137,894 and 2,420,601

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Solution

The third proportional to 1,137,894 and 2,420,601 is: 5,149,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,894 : 2,420,601 = 2,420,601 : x
  2. Step 2: Convert to fraction form
    1,137,894/2,420,601 = 2,420,601/x
  3. Step 3: Cross multiply
    1,137,894x = 2,420,601 × 2,420,601
  4. Step 4: Simplify right side
    1,137,894x = 5,859,309,201,201
  5. Step 5: Solve for x
    x = 5,859,309,201,201/1,137,894
  6. Step 6: Final answer
    x = 5,149,257.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.