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Finding the Third Proportional to 1,589,143.50 and 2,420,437.50

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Solution

The third proportional to 1,589,143.50 and 2,420,437.50 is: 3,686,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,143.50 : 2,420,437.50 = 2,420,437.50 : x
  2. Step 2: Convert to fraction form
    1,589,143.50/2,420,437.50 = 2,420,437.50/x
  3. Step 3: Cross multiply
    1,589,143.50x = 2,420,437.50 × 2,420,437.50
  4. Step 4: Simplify right side
    1,589,143.50x = 5,858,517,691,406.25
  5. Step 5: Solve for x
    x = 5,858,517,691,406.25/1,589,143.50
  6. Step 6: Final answer
    x = 3,686,588.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.