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Finding the Third Proportional to 1,523,104.88 and 3,345,163.88

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Solution

The third proportional to 1,523,104.88 and 3,345,163.88 is: 7,346,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,104.88 : 3,345,163.88 = 3,345,163.88 : x
  2. Step 2: Convert to fraction form
    1,523,104.88/3,345,163.88 = 3,345,163.88/x
  3. Step 3: Cross multiply
    1,523,104.88x = 3,345,163.88 × 3,345,163.88
  4. Step 4: Simplify right side
    1,523,104.88x = 11,190,121,350,605.02
  5. Step 5: Solve for x
    x = 11,190,121,350,605.02/1,523,104.88
  6. Step 6: Final answer
    x = 7,346,914.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.