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Finding the Third Proportional to 2,671,938 and 5,823,420

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Solution

The third proportional to 2,671,938 and 5,823,420 is: 12,691,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,938 : 5,823,420 = 5,823,420 : x
  2. Step 2: Convert to fraction form
    2,671,938/5,823,420 = 5,823,420/x
  3. Step 3: Cross multiply
    2,671,938x = 5,823,420 × 5,823,420
  4. Step 4: Simplify right side
    2,671,938x = 33,912,220,496,400
  5. Step 5: Solve for x
    x = 33,912,220,496,400/2,671,938
  6. Step 6: Final answer
    x = 12,691,993.79

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Why These Related Problems?

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