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Finding the Third Proportional to 1,544,165 and 2,227,647

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Solution

The third proportional to 1,544,165 and 2,227,647 is: 3,213,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544,165 : 2,227,647 = 2,227,647 : x
  2. Step 2: Convert to fraction form
    1,544,165/2,227,647 = 2,227,647/x
  3. Step 3: Cross multiply
    1,544,165x = 2,227,647 × 2,227,647
  4. Step 4: Simplify right side
    1,544,165x = 4,962,411,156,609
  5. Step 5: Solve for x
    x = 4,962,411,156,609/1,544,165
  6. Step 6: Final answer
    x = 3,213,653.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.