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Finding the Third Proportional to 3,505,573.05 and 5,244,346.98

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Solution

The third proportional to 3,505,573.05 and 5,244,346.98 is: 7,845,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505,573.05 : 5,244,346.98 = 5,244,346.98 : x
  2. Step 2: Convert to fraction form
    3,505,573.05/5,244,346.98 = 5,244,346.98/x
  3. Step 3: Cross multiply
    3,505,573.05x = 5,244,346.98 × 5,244,346.98
  4. Step 4: Simplify right side
    3,505,573.05x = 27,503,175,220,822.45
  5. Step 5: Solve for x
    x = 27,503,175,220,822.45/3,505,573.05
  6. Step 6: Final answer
    x = 7,845,557.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.