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Finding the Third Proportional to 742,297.50 and 1,589,571

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Solution

The third proportional to 742,297.50 and 1,589,571 is: 3,403,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,297.50 : 1,589,571 = 1,589,571 : x
  2. Step 2: Convert to fraction form
    742,297.50/1,589,571 = 1,589,571/x
  3. Step 3: Cross multiply
    742,297.50x = 1,589,571 × 1,589,571
  4. Step 4: Simplify right side
    742,297.50x = 2,526,735,964,041
  5. Step 5: Solve for x
    x = 2,526,735,964,041/742,297.50
  6. Step 6: Final answer
    x = 3,403,939.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.