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Finding the Third Proportional to 515,268 and 1,099,021.50

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Solution

The third proportional to 515,268 and 1,099,021.50 is: 2,344,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,268 : 1,099,021.50 = 1,099,021.50 : x
  2. Step 2: Convert to fraction form
    515,268/1,099,021.50 = 1,099,021.50/x
  3. Step 3: Cross multiply
    515,268x = 1,099,021.50 × 1,099,021.50
  4. Step 4: Simplify right side
    515,268x = 1,207,848,257,462.25
  5. Step 5: Solve for x
    x = 1,207,848,257,462.25/515,268
  6. Step 6: Final answer
    x = 2,344,116.57

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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.