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Finding the Third Proportional to 946,824 and 1,949,384

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Solution

The third proportional to 946,824 and 1,949,384 is: 4,013,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,824 : 1,949,384 = 1,949,384 : x
  2. Step 2: Convert to fraction form
    946,824/1,949,384 = 1,949,384/x
  3. Step 3: Cross multiply
    946,824x = 1,949,384 × 1,949,384
  4. Step 4: Simplify right side
    946,824x = 3,800,097,979,456
  5. Step 5: Solve for x
    x = 3,800,097,979,456/946,824
  6. Step 6: Final answer
    x = 4,013,520.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.