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Finding the Third Proportional to 569,792.50 and 1,215,857

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Solution

The third proportional to 569,792.50 and 1,215,857 is: 2,594,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,792.50 : 1,215,857 = 1,215,857 : x
  2. Step 2: Convert to fraction form
    569,792.50/1,215,857 = 1,215,857/x
  3. Step 3: Cross multiply
    569,792.50x = 1,215,857 × 1,215,857
  4. Step 4: Simplify right side
    569,792.50x = 1,478,308,244,449
  5. Step 5: Solve for x
    x = 1,478,308,244,449/569,792.50
  6. Step 6: Final answer
    x = 2,594,467.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.