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Finding the Third Proportional to 512,841.75 and 1,115,988.25

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Solution

The third proportional to 512,841.75 and 1,115,988.25 is: 2,428,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,841.75 : 1,115,988.25 = 1,115,988.25 : x
  2. Step 2: Convert to fraction form
    512,841.75/1,115,988.25 = 1,115,988.25/x
  3. Step 3: Cross multiply
    512,841.75x = 1,115,988.25 × 1,115,988.25
  4. Step 4: Simplify right side
    512,841.75x = 1,245,429,774,138.06
  5. Step 5: Solve for x
    x = 1,245,429,774,138.06/512,841.75
  6. Step 6: Final answer
    x = 2,428,487.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.