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Finding the Third Proportional to 2,318,205 and 3,546,147

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Solution

The third proportional to 2,318,205 and 3,546,147 is: 5,424,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318,205 : 3,546,147 = 3,546,147 : x
  2. Step 2: Convert to fraction form
    2,318,205/3,546,147 = 3,546,147/x
  3. Step 3: Cross multiply
    2,318,205x = 3,546,147 × 3,546,147
  4. Step 4: Simplify right side
    2,318,205x = 12,575,158,545,609
  5. Step 5: Solve for x
    x = 12,575,158,545,609/2,318,205
  6. Step 6: Final answer
    x = 5,424,523.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.