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Finding the Third Proportional to 952,616 and 2,054,794

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Solution

The third proportional to 952,616 and 2,054,794 is: 4,432,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,616 : 2,054,794 = 2,054,794 : x
  2. Step 2: Convert to fraction form
    952,616/2,054,794 = 2,054,794/x
  3. Step 3: Cross multiply
    952,616x = 2,054,794 × 2,054,794
  4. Step 4: Simplify right side
    952,616x = 4,222,178,382,436
  5. Step 5: Solve for x
    x = 4,222,178,382,436/952,616
  6. Step 6: Final answer
    x = 4,432,193.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.