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Finding the Third Proportional to 3,179,000 and 6,812,536

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Solution

The third proportional to 3,179,000 and 6,812,536 is: 14,599,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179,000 : 6,812,536 = 6,812,536 : x
  2. Step 2: Convert to fraction form
    3,179,000/6,812,536 = 6,812,536/x
  3. Step 3: Cross multiply
    3,179,000x = 6,812,536 × 6,812,536
  4. Step 4: Simplify right side
    3,179,000x = 46,410,646,751,296
  5. Step 5: Solve for x
    x = 46,410,646,751,296/3,179,000
  6. Step 6: Final answer
    x = 14,599,133.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.