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Finding the Third Proportional to 1,203,147 and 1,605,568.50

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Solution

The third proportional to 1,203,147 and 1,605,568.50 is: 2,142,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,147 : 1,605,568.50 = 1,605,568.50 : x
  2. Step 2: Convert to fraction form
    1,203,147/1,605,568.50 = 1,605,568.50/x
  3. Step 3: Cross multiply
    1,203,147x = 1,605,568.50 × 1,605,568.50
  4. Step 4: Simplify right side
    1,203,147x = 2,577,850,208,192.25
  5. Step 5: Solve for x
    x = 2,577,850,208,192.25/1,203,147
  6. Step 6: Final answer
    x = 2,142,589.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.