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Finding the Third Proportional to 3,230,583.75 and 5,001,653.25

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Solution

The third proportional to 3,230,583.75 and 5,001,653.25 is: 7,743,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230,583.75 : 5,001,653.25 = 5,001,653.25 : x
  2. Step 2: Convert to fraction form
    3,230,583.75/5,001,653.25 = 5,001,653.25/x
  3. Step 3: Cross multiply
    3,230,583.75x = 5,001,653.25 × 5,001,653.25
  4. Step 4: Simplify right side
    3,230,583.75x = 25,016,535,233,235.56
  5. Step 5: Solve for x
    x = 25,016,535,233,235.56/3,230,583.75
  6. Step 6: Final answer
    x = 7,743,657.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.