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Finding the Third Proportional to 512,284.50 and 1,102,065.75

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Solution

The third proportional to 512,284.50 and 1,102,065.75 is: 2,370,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,284.50 : 1,102,065.75 = 1,102,065.75 : x
  2. Step 2: Convert to fraction form
    512,284.50/1,102,065.75 = 1,102,065.75/x
  3. Step 3: Cross multiply
    512,284.50x = 1,102,065.75 × 1,102,065.75
  4. Step 4: Simplify right side
    512,284.50x = 1,214,548,917,323.06
  5. Step 5: Solve for x
    x = 1,214,548,917,323.06/512,284.50
  6. Step 6: Final answer
    x = 2,370,848.46

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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.