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Finding the Third Proportional to 936,078 and 2,208,972

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Solution

The third proportional to 936,078 and 2,208,972 is: 5,212,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,078 : 2,208,972 = 2,208,972 : x
  2. Step 2: Convert to fraction form
    936,078/2,208,972 = 2,208,972/x
  3. Step 3: Cross multiply
    936,078x = 2,208,972 × 2,208,972
  4. Step 4: Simplify right side
    936,078x = 4,879,557,296,784
  5. Step 5: Solve for x
    x = 4,879,557,296,784/936,078
  6. Step 6: Final answer
    x = 5,212,767.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.