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Finding the Third Proportional to 1,314,049.50 and 2,824,551

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Solution

The third proportional to 1,314,049.50 and 2,824,551 is: 6,071,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,049.50 : 2,824,551 = 2,824,551 : x
  2. Step 2: Convert to fraction form
    1,314,049.50/2,824,551 = 2,824,551/x
  3. Step 3: Cross multiply
    1,314,049.50x = 2,824,551 × 2,824,551
  4. Step 4: Simplify right side
    1,314,049.50x = 7,978,088,351,601
  5. Step 5: Solve for x
    x = 7,978,088,351,601/1,314,049.50
  6. Step 6: Final answer
    x = 6,071,375.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.