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Finding the Third Proportional to 2,599,297 and 5,796,256

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Solution

The third proportional to 2,599,297 and 5,796,256 is: 12,925,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599,297 : 5,796,256 = 5,796,256 : x
  2. Step 2: Convert to fraction form
    2,599,297/5,796,256 = 5,796,256/x
  3. Step 3: Cross multiply
    2,599,297x = 5,796,256 × 5,796,256
  4. Step 4: Simplify right side
    2,599,297x = 33,596,583,617,536
  5. Step 5: Solve for x
    x = 33,596,583,617,536/2,599,297
  6. Step 6: Final answer
    x = 12,925,257.72

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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.