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Finding the Third Proportional to 2,389,088.25 and 5,198,073.75

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Solution

The third proportional to 2,389,088.25 and 5,198,073.75 is: 11,309,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,088.25 : 5,198,073.75 = 5,198,073.75 : x
  2. Step 2: Convert to fraction form
    2,389,088.25/5,198,073.75 = 5,198,073.75/x
  3. Step 3: Cross multiply
    2,389,088.25x = 5,198,073.75 × 5,198,073.75
  4. Step 4: Simplify right side
    2,389,088.25x = 27,019,970,710,439.06
  5. Step 5: Solve for x
    x = 27,019,970,710,439.06/2,389,088.25
  6. Step 6: Final answer
    x = 11,309,741.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.