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Finding the Third Proportional to 515,171.63 and 1,106,519.25

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Solution

The third proportional to 515,171.63 and 1,106,519.25 is: 2,376,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,171.63 : 1,106,519.25 = 1,106,519.25 : x
  2. Step 2: Convert to fraction form
    515,171.63/1,106,519.25 = 1,106,519.25/x
  3. Step 3: Cross multiply
    515,171.63x = 1,106,519.25 × 1,106,519.25
  4. Step 4: Simplify right side
    515,171.63x = 1,224,384,850,620.56
  5. Step 5: Solve for x
    x = 1,224,384,850,620.56/515,171.63
  6. Step 6: Final answer
    x = 2,376,654.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.