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Finding the Third Proportional to 2,040,690 and 4,448,814

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Solution

The third proportional to 2,040,690 and 4,448,814 is: 9,698,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,690 : 4,448,814 = 4,448,814 : x
  2. Step 2: Convert to fraction form
    2,040,690/4,448,814 = 4,448,814/x
  3. Step 3: Cross multiply
    2,040,690x = 4,448,814 × 4,448,814
  4. Step 4: Simplify right side
    2,040,690x = 19,791,946,006,596
  5. Step 5: Solve for x
    x = 19,791,946,006,596/2,040,690
  6. Step 6: Final answer
    x = 9,698,653.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.