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Finding the Third Proportional to 632,051.54 and 1,392,942.45

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Solution

The third proportional to 632,051.54 and 1,392,942.45 is: 3,069,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,051.54 : 1,392,942.45 = 1,392,942.45 : x
  2. Step 2: Convert to fraction form
    632,051.54/1,392,942.45 = 1,392,942.45/x
  3. Step 3: Cross multiply
    632,051.54x = 1,392,942.45 × 1,392,942.45
  4. Step 4: Simplify right side
    632,051.54x = 1,940,288,655,953.17
  5. Step 5: Solve for x
    x = 1,940,288,655,953.17/632,051.54
  6. Step 6: Final answer
    x = 3,069,826.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.