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Finding the Third Proportional to 4,190,220.75 and 6,407,165.44

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Solution

The third proportional to 4,190,220.75 and 6,407,165.44 is: 9,797,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,220.75 : 6,407,165.44 = 6,407,165.44 : x
  2. Step 2: Convert to fraction form
    4,190,220.75/6,407,165.44 = 6,407,165.44/x
  3. Step 3: Cross multiply
    4,190,220.75x = 6,407,165.44 × 6,407,165.44
  4. Step 4: Simplify right side
    4,190,220.75x = 41,051,768,943,494.56
  5. Step 5: Solve for x
    x = 41,051,768,943,494.56/4,190,220.75
  6. Step 6: Final answer
    x = 9,797,042.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.