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Finding the Third Proportional to 734,166 and 967,544

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Solution

The third proportional to 734,166 and 967,544 is: 1,275,108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,166 : 967,544 = 967,544 : x
  2. Step 2: Convert to fraction form
    734,166/967,544 = 967,544/x
  3. Step 3: Cross multiply
    734,166x = 967,544 × 967,544
  4. Step 4: Simplify right side
    734,166x = 936,141,391,936
  5. Step 5: Solve for x
    x = 936,141,391,936/734,166
  6. Step 6: Final answer
    x = 1,275,108.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.