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Finding the Third Proportional to 622,408.50 and 1,267,657.13

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Solution

The third proportional to 622,408.50 and 1,267,657.13 is: 2,581,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,408.50 : 1,267,657.13 = 1,267,657.13 : x
  2. Step 2: Convert to fraction form
    622,408.50/1,267,657.13 = 1,267,657.13/x
  3. Step 3: Cross multiply
    622,408.50x = 1,267,657.13 × 1,267,657.13
  4. Step 4: Simplify right side
    622,408.50x = 1,606,954,586,563.27
  5. Step 5: Solve for x
    x = 1,606,954,586,563.27/622,408.50
  6. Step 6: Final answer
    x = 2,581,832.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.