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Finding the Third Proportional to 1,288,928 and 2,799,296

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Solution

The third proportional to 1,288,928 and 2,799,296 is: 6,079,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,928 : 2,799,296 = 2,799,296 : x
  2. Step 2: Convert to fraction form
    1,288,928/2,799,296 = 2,799,296/x
  3. Step 3: Cross multiply
    1,288,928x = 2,799,296 × 2,799,296
  4. Step 4: Simplify right side
    1,288,928x = 7,836,058,095,616
  5. Step 5: Solve for x
    x = 7,836,058,095,616/1,288,928
  6. Step 6: Final answer
    x = 6,079,515.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.