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Finding the Third Proportional to 2,305,914 and 3,664,145

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Solution

The third proportional to 2,305,914 and 3,664,145 is: 5,822,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,914 : 3,664,145 = 3,664,145 : x
  2. Step 2: Convert to fraction form
    2,305,914/3,664,145 = 3,664,145/x
  3. Step 3: Cross multiply
    2,305,914x = 3,664,145 × 3,664,145
  4. Step 4: Simplify right side
    2,305,914x = 13,425,958,581,025
  5. Step 5: Solve for x
    x = 13,425,958,581,025/2,305,914
  6. Step 6: Final answer
    x = 5,822,402.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.