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Finding the Third Proportional to 2,040,420 and 4,468,664

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Solution

The third proportional to 2,040,420 and 4,468,664 is: 9,786,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,420 : 4,468,664 = 4,468,664 : x
  2. Step 2: Convert to fraction form
    2,040,420/4,468,664 = 4,468,664/x
  3. Step 3: Cross multiply
    2,040,420x = 4,468,664 × 4,468,664
  4. Step 4: Simplify right side
    2,040,420x = 19,968,957,944,896
  5. Step 5: Solve for x
    x = 19,968,957,944,896/2,040,420
  6. Step 6: Final answer
    x = 9,786,689.97

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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.