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Finding the Third Proportional to 985,920 and 2,018,568

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Solution

The third proportional to 985,920 and 2,018,568 is: 4,132,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,920 : 2,018,568 = 2,018,568 : x
  2. Step 2: Convert to fraction form
    985,920/2,018,568 = 2,018,568/x
  3. Step 3: Cross multiply
    985,920x = 2,018,568 × 2,018,568
  4. Step 4: Simplify right side
    985,920x = 4,074,616,770,624
  5. Step 5: Solve for x
    x = 4,074,616,770,624/985,920
  6. Step 6: Final answer
    x = 4,132,806.69

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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.