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Finding the Third Proportional to 2,122,371 and 4,580,849

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Solution

The third proportional to 2,122,371 and 4,580,849 is: 9,887,139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,371 : 4,580,849 = 4,580,849 : x
  2. Step 2: Convert to fraction form
    2,122,371/4,580,849 = 4,580,849/x
  3. Step 3: Cross multiply
    2,122,371x = 4,580,849 × 4,580,849
  4. Step 4: Simplify right side
    2,122,371x = 20,984,177,560,801
  5. Step 5: Solve for x
    x = 20,984,177,560,801/2,122,371
  6. Step 6: Final answer
    x = 9,887,139.22

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Why These Related Problems?

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