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Finding the Third Proportional to 1,012,914 and 2,161,422

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Solution

The third proportional to 1,012,914 and 2,161,422 is: 4,612,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,914 : 2,161,422 = 2,161,422 : x
  2. Step 2: Convert to fraction form
    1,012,914/2,161,422 = 2,161,422/x
  3. Step 3: Cross multiply
    1,012,914x = 2,161,422 × 2,161,422
  4. Step 4: Simplify right side
    1,012,914x = 4,671,745,062,084
  5. Step 5: Solve for x
    x = 4,671,745,062,084/1,012,914
  6. Step 6: Final answer
    x = 4,612,183.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.