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Finding the Third Proportional to 512,673.47 and 1,104,233.34

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Solution

The third proportional to 512,673.47 and 1,104,233.34 is: 2,378,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,673.47 : 1,104,233.34 = 1,104,233.34 : x
  2. Step 2: Convert to fraction form
    512,673.47/1,104,233.34 = 1,104,233.34/x
  3. Step 3: Cross multiply
    512,673.47x = 1,104,233.34 × 1,104,233.34
  4. Step 4: Simplify right side
    512,673.47x = 1,219,331,277,449.31
  5. Step 5: Solve for x
    x = 1,219,331,277,449.31/512,673.47
  6. Step 6: Final answer
    x = 2,378,377.96

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Why These Related Problems?

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