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Finding the Third Proportional to 2,183,166 and 3,318,813

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Solution

The third proportional to 2,183,166 and 3,318,813 is: 5,045,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183,166 : 3,318,813 = 3,318,813 : x
  2. Step 2: Convert to fraction form
    2,183,166/3,318,813 = 3,318,813/x
  3. Step 3: Cross multiply
    2,183,166x = 3,318,813 × 3,318,813
  4. Step 4: Simplify right side
    2,183,166x = 11,014,519,728,969
  5. Step 5: Solve for x
    x = 11,014,519,728,969/2,183,166
  6. Step 6: Final answer
    x = 5,045,204.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.