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Finding the Third Proportional to 1,527,172.50 and 2,244,012

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Solution

The third proportional to 1,527,172.50 and 2,244,012 is: 3,297,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,172.50 : 2,244,012 = 2,244,012 : x
  2. Step 2: Convert to fraction form
    1,527,172.50/2,244,012 = 2,244,012/x
  3. Step 3: Cross multiply
    1,527,172.50x = 2,244,012 × 2,244,012
  4. Step 4: Simplify right side
    1,527,172.50x = 5,035,589,856,144
  5. Step 5: Solve for x
    x = 5,035,589,856,144/1,527,172.50
  6. Step 6: Final answer
    x = 3,297,328.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.