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Finding the Third Proportional to 2,784,240 and 6,079,824

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Solution

The third proportional to 2,784,240 and 6,079,824 is: 13,276,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784,240 : 6,079,824 = 6,079,824 : x
  2. Step 2: Convert to fraction form
    2,784,240/6,079,824 = 6,079,824/x
  3. Step 3: Cross multiply
    2,784,240x = 6,079,824 × 6,079,824
  4. Step 4: Simplify right side
    2,784,240x = 36,964,259,870,976
  5. Step 5: Solve for x
    x = 36,964,259,870,976/2,784,240
  6. Step 6: Final answer
    x = 13,276,247.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.