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Finding the Third Proportional to 3,907,642.50 and 5,902,296.75

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Solution

The third proportional to 3,907,642.50 and 5,902,296.75 is: 8,915,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907,642.50 : 5,902,296.75 = 5,902,296.75 : x
  2. Step 2: Convert to fraction form
    3,907,642.50/5,902,296.75 = 5,902,296.75/x
  3. Step 3: Cross multiply
    3,907,642.50x = 5,902,296.75 × 5,902,296.75
  4. Step 4: Simplify right side
    3,907,642.50x = 34,837,106,925,060.56
  5. Step 5: Solve for x
    x = 34,837,106,925,060.56/3,907,642.50
  6. Step 6: Final answer
    x = 8,915,121.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.