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Finding the Third Proportional to 3,716,896.50 and 5,234,287.50

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Solution

The third proportional to 3,716,896.50 and 5,234,287.50 is: 7,371,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716,896.50 : 5,234,287.50 = 5,234,287.50 : x
  2. Step 2: Convert to fraction form
    3,716,896.50/5,234,287.50 = 5,234,287.50/x
  3. Step 3: Cross multiply
    3,716,896.50x = 5,234,287.50 × 5,234,287.50
  4. Step 4: Simplify right side
    3,716,896.50x = 27,397,765,632,656.25
  5. Step 5: Solve for x
    x = 27,397,765,632,656.25/3,716,896.50
  6. Step 6: Final answer
    x = 7,371,140.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.