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Finding the Third Proportional to 2,084,508 and 4,568,040

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Solution

The third proportional to 2,084,508 and 4,568,040 is: 10,010,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,508 : 4,568,040 = 4,568,040 : x
  2. Step 2: Convert to fraction form
    2,084,508/4,568,040 = 4,568,040/x
  3. Step 3: Cross multiply
    2,084,508x = 4,568,040 × 4,568,040
  4. Step 4: Simplify right side
    2,084,508x = 20,866,989,441,600
  5. Step 5: Solve for x
    x = 20,866,989,441,600/2,084,508
  6. Step 6: Final answer
    x = 10,010,510.61

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Why These Related Problems?

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