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Finding the Third Proportional to 515,845.97 and 1,213,762.22

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Solution

The third proportional to 515,845.97 and 1,213,762.22 is: 2,855,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,845.97 : 1,213,762.22 = 1,213,762.22 : x
  2. Step 2: Convert to fraction form
    515,845.97/1,213,762.22 = 1,213,762.22/x
  3. Step 3: Cross multiply
    515,845.97x = 1,213,762.22 × 1,213,762.22
  4. Step 4: Simplify right side
    515,845.97x = 1,473,218,723,664.92
  5. Step 5: Solve for x
    x = 1,473,218,723,664.92/515,845.97
  6. Step 6: Final answer
    x = 2,855,927.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.