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Finding the Third Proportional to 553,596 and 1,212,824

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Solution

The third proportional to 553,596 and 1,212,824 is: 2,657,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,596 : 1,212,824 = 1,212,824 : x
  2. Step 2: Convert to fraction form
    553,596/1,212,824 = 1,212,824/x
  3. Step 3: Cross multiply
    553,596x = 1,212,824 × 1,212,824
  4. Step 4: Simplify right side
    553,596x = 1,470,942,054,976
  5. Step 5: Solve for x
    x = 1,470,942,054,976/553,596
  6. Step 6: Final answer
    x = 2,657,067.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.