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Finding the Third Proportional to 1,521,398 and 3,212,563

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Solution

The third proportional to 1,521,398 and 3,212,563 is: 6,783,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521,398 : 3,212,563 = 3,212,563 : x
  2. Step 2: Convert to fraction form
    1,521,398/3,212,563 = 3,212,563/x
  3. Step 3: Cross multiply
    1,521,398x = 3,212,563 × 3,212,563
  4. Step 4: Simplify right side
    1,521,398x = 10,320,561,028,969
  5. Step 5: Solve for x
    x = 10,320,561,028,969/1,521,398
  6. Step 6: Final answer
    x = 6,783,603.65

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.