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Finding the Third Proportional to 2,962,322 and 6,459,844

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Solution

The third proportional to 2,962,322 and 6,459,844 is: 14,086,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962,322 : 6,459,844 = 6,459,844 : x
  2. Step 2: Convert to fraction form
    2,962,322/6,459,844 = 6,459,844/x
  3. Step 3: Cross multiply
    2,962,322x = 6,459,844 × 6,459,844
  4. Step 4: Simplify right side
    2,962,322x = 41,729,584,504,336
  5. Step 5: Solve for x
    x = 41,729,584,504,336/2,962,322
  6. Step 6: Final answer
    x = 14,086,782.09

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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.