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Finding the Third Proportional to 2,529,576 and 5,971,208

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Solution

The third proportional to 2,529,576 and 5,971,208 is: 14,095,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529,576 : 5,971,208 = 5,971,208 : x
  2. Step 2: Convert to fraction form
    2,529,576/5,971,208 = 5,971,208/x
  3. Step 3: Cross multiply
    2,529,576x = 5,971,208 × 5,971,208
  4. Step 4: Simplify right side
    2,529,576x = 35,655,324,979,264
  5. Step 5: Solve for x
    x = 35,655,324,979,264/2,529,576
  6. Step 6: Final answer
    x = 14,095,376.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.