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Finding the Third Proportional to 3,534,640.88 and 5,529,409.31

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Solution

The third proportional to 3,534,640.88 and 5,529,409.31 is: 8,649,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534,640.88 : 5,529,409.31 = 5,529,409.31 : x
  2. Step 2: Convert to fraction form
    3,534,640.88/5,529,409.31 = 5,529,409.31/x
  3. Step 3: Cross multiply
    3,534,640.88x = 5,529,409.31 × 5,529,409.31
  4. Step 4: Simplify right side
    3,534,640.88x = 30,574,367,345,161.72
  5. Step 5: Solve for x
    x = 30,574,367,345,161.72/3,534,640.88
  6. Step 6: Final answer
    x = 8,649,921.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.