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Finding the Third Proportional to 1,324,800 and 2,949,376

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Solution

The third proportional to 1,324,800 and 2,949,376 is: 6,566,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,800 : 2,949,376 = 2,949,376 : x
  2. Step 2: Convert to fraction form
    1,324,800/2,949,376 = 2,949,376/x
  3. Step 3: Cross multiply
    1,324,800x = 2,949,376 × 2,949,376
  4. Step 4: Simplify right side
    1,324,800x = 8,698,818,789,376
  5. Step 5: Solve for x
    x = 8,698,818,789,376/1,324,800
  6. Step 6: Final answer
    x = 6,566,137.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.