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Finding the Third Proportional to 947,400.68 and 1,456,238.25

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Solution

The third proportional to 947,400.68 and 1,456,238.25 is: 2,238,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,400.68 : 1,456,238.25 = 1,456,238.25 : x
  2. Step 2: Convert to fraction form
    947,400.68/1,456,238.25 = 1,456,238.25/x
  3. Step 3: Cross multiply
    947,400.68x = 1,456,238.25 × 1,456,238.25
  4. Step 4: Simplify right side
    947,400.68x = 2,120,629,840,763.06
  5. Step 5: Solve for x
    x = 2,120,629,840,763.06/947,400.68
  6. Step 6: Final answer
    x = 2,238,366.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.