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Finding the Third Proportional to 2,965,384 and 6,474,516

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Solution

The third proportional to 2,965,384 and 6,474,516 is: 14,136,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,384 : 6,474,516 = 6,474,516 : x
  2. Step 2: Convert to fraction form
    2,965,384/6,474,516 = 6,474,516/x
  3. Step 3: Cross multiply
    2,965,384x = 6,474,516 × 6,474,516
  4. Step 4: Simplify right side
    2,965,384x = 41,919,357,434,256
  5. Step 5: Solve for x
    x = 41,919,357,434,256/2,965,384
  6. Step 6: Final answer
    x = 14,136,232.42

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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.