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Finding the Third Proportional to 2,141,962 and 2,855,631

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Solution

The third proportional to 2,141,962 and 2,855,631 is: 3,807,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,962 : 2,855,631 = 2,855,631 : x
  2. Step 2: Convert to fraction form
    2,141,962/2,855,631 = 2,855,631/x
  3. Step 3: Cross multiply
    2,141,962x = 2,855,631 × 2,855,631
  4. Step 4: Simplify right side
    2,141,962x = 8,154,628,408,161
  5. Step 5: Solve for x
    x = 8,154,628,408,161/2,141,962
  6. Step 6: Final answer
    x = 3,807,083.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.