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Finding the Third Proportional to 2,529,424 and 5,970,816

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Solution

The third proportional to 2,529,424 and 5,970,816 is: 14,094,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529,424 : 5,970,816 = 5,970,816 : x
  2. Step 2: Convert to fraction form
    2,529,424/5,970,816 = 5,970,816/x
  3. Step 3: Cross multiply
    2,529,424x = 5,970,816 × 5,970,816
  4. Step 4: Simplify right side
    2,529,424x = 35,650,643,705,856
  5. Step 5: Solve for x
    x = 35,650,643,705,856/2,529,424
  6. Step 6: Final answer
    x = 14,094,372.36

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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.