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Finding the Third Proportional to 874,731 and 1,369,234

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Solution

The third proportional to 874,731 and 1,369,234 is: 2,143,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,731 : 1,369,234 = 1,369,234 : x
  2. Step 2: Convert to fraction form
    874,731/1,369,234 = 1,369,234/x
  3. Step 3: Cross multiply
    874,731x = 1,369,234 × 1,369,234
  4. Step 4: Simplify right side
    874,731x = 1,874,801,746,756
  5. Step 5: Solve for x
    x = 1,874,801,746,756/874,731
  6. Step 6: Final answer
    x = 2,143,289.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.