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Finding the Third Proportional to 515,171.88 and 1,106,519.75

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Solution

The third proportional to 515,171.88 and 1,106,519.75 is: 2,376,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,171.88 : 1,106,519.75 = 1,106,519.75 : x
  2. Step 2: Convert to fraction form
    515,171.88/1,106,519.75 = 1,106,519.75/x
  3. Step 3: Cross multiply
    515,171.88x = 1,106,519.75 × 1,106,519.75
  4. Step 4: Simplify right side
    515,171.88x = 1,224,385,957,140.06
  5. Step 5: Solve for x
    x = 1,224,385,957,140.06/515,171.88
  6. Step 6: Final answer
    x = 2,376,655.28

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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.