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Finding the Third Proportional to 2,599,317 and 5,796,302

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Solution

The third proportional to 2,599,317 and 5,796,302 is: 12,925,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599,317 : 5,796,302 = 5,796,302 : x
  2. Step 2: Convert to fraction form
    2,599,317/5,796,302 = 5,796,302/x
  3. Step 3: Cross multiply
    2,599,317x = 5,796,302 × 5,796,302
  4. Step 4: Simplify right side
    2,599,317x = 33,597,116,875,204
  5. Step 5: Solve for x
    x = 33,597,116,875,204/2,599,317
  6. Step 6: Final answer
    x = 12,925,363.42

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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.