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Finding the Third Proportional to 1,647,936 and 2,546,566

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Solution

The third proportional to 1,647,936 and 2,546,566 is: 3,935,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,936 : 2,546,566 = 2,546,566 : x
  2. Step 2: Convert to fraction form
    1,647,936/2,546,566 = 2,546,566/x
  3. Step 3: Cross multiply
    1,647,936x = 2,546,566 × 2,546,566
  4. Step 4: Simplify right side
    1,647,936x = 6,484,998,392,356
  5. Step 5: Solve for x
    x = 6,484,998,392,356/1,647,936
  6. Step 6: Final answer
    x = 3,935,224.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.