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Finding the Third Proportional to 515,721.94 and 1,097,965.13

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Solution

The third proportional to 515,721.94 and 1,097,965.13 is: 2,337,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,721.94 : 1,097,965.13 = 1,097,965.13 : x
  2. Step 2: Convert to fraction form
    515,721.94/1,097,965.13 = 1,097,965.13/x
  3. Step 3: Cross multiply
    515,721.94x = 1,097,965.13 × 1,097,965.13
  4. Step 4: Simplify right side
    515,721.94x = 1,205,527,415,716.27
  5. Step 5: Solve for x
    x = 1,205,527,415,716.27/515,721.94
  6. Step 6: Final answer
    x = 2,337,553.10

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Why These Related Problems?

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