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Finding the Third Proportional to 772,928 and 1,226,568

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Solution

The third proportional to 772,928 and 1,226,568 is: 1,946,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,928 : 1,226,568 = 1,226,568 : x
  2. Step 2: Convert to fraction form
    772,928/1,226,568 = 1,226,568/x
  3. Step 3: Cross multiply
    772,928x = 1,226,568 × 1,226,568
  4. Step 4: Simplify right side
    772,928x = 1,504,469,058,624
  5. Step 5: Solve for x
    x = 1,504,469,058,624/772,928
  6. Step 6: Final answer
    x = 1,946,454.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.