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Finding the Third Proportional to 2,106,999 and 4,546,422

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Solution

The third proportional to 2,106,999 and 4,546,422 is: 9,810,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,999 : 4,546,422 = 4,546,422 : x
  2. Step 2: Convert to fraction form
    2,106,999/4,546,422 = 4,546,422/x
  3. Step 3: Cross multiply
    2,106,999x = 4,546,422 × 4,546,422
  4. Step 4: Simplify right side
    2,106,999x = 20,669,953,002,084
  5. Step 5: Solve for x
    x = 20,669,953,002,084/2,106,999
  6. Step 6: Final answer
    x = 9,810,138.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.