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Finding the Third Proportional to 2,084,934 and 4,568,450

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Solution

The third proportional to 2,084,934 and 4,568,450 is: 10,010,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,934 : 4,568,450 = 4,568,450 : x
  2. Step 2: Convert to fraction form
    2,084,934/4,568,450 = 4,568,450/x
  3. Step 3: Cross multiply
    2,084,934x = 4,568,450 × 4,568,450
  4. Step 4: Simplify right side
    2,084,934x = 20,870,735,402,500
  5. Step 5: Solve for x
    x = 20,870,735,402,500/2,084,934
  6. Step 6: Final answer
    x = 10,010,261.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.