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Finding the Third Proportional to 947,076.75 and 1,444,256.25

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Solution

The third proportional to 947,076.75 and 1,444,256.25 is: 2,202,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,076.75 : 1,444,256.25 = 1,444,256.25 : x
  2. Step 2: Convert to fraction form
    947,076.75/1,444,256.25 = 1,444,256.25/x
  3. Step 3: Cross multiply
    947,076.75x = 1,444,256.25 × 1,444,256.25
  4. Step 4: Simplify right side
    947,076.75x = 2,085,876,115,664.06
  5. Step 5: Solve for x
    x = 2,085,876,115,664.06/947,076.75
  6. Step 6: Final answer
    x = 2,202,436.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.