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Finding the Third Proportional to 3,282,463 and 5,273,997

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Solution

The third proportional to 3,282,463 and 5,273,997 is: 8,473,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282,463 : 5,273,997 = 5,273,997 : x
  2. Step 2: Convert to fraction form
    3,282,463/5,273,997 = 5,273,997/x
  3. Step 3: Cross multiply
    3,282,463x = 5,273,997 × 5,273,997
  4. Step 4: Simplify right side
    3,282,463x = 27,815,044,356,009
  5. Step 5: Solve for x
    x = 27,815,044,356,009/3,282,463
  6. Step 6: Final answer
    x = 8,473,833.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.