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Finding the Third Proportional to 1,002,915 and 2,161,755.84

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Solution

The third proportional to 1,002,915 and 2,161,755.84 is: 4,659,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,915 : 2,161,755.84 = 2,161,755.84 : x
  2. Step 2: Convert to fraction form
    1,002,915/2,161,755.84 = 2,161,755.84/x
  3. Step 3: Cross multiply
    1,002,915x = 2,161,755.84 × 2,161,755.84
  4. Step 4: Simplify right side
    1,002,915x = 4,673,188,327,987.27
  5. Step 5: Solve for x
    x = 4,673,188,327,987.27/1,002,915
  6. Step 6: Final answer
    x = 4,659,605.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.