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Finding the Third Proportional to 767,844 and 1,584,756

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Solution

The third proportional to 767,844 and 1,584,756 is: 3,270,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,844 : 1,584,756 = 1,584,756 : x
  2. Step 2: Convert to fraction form
    767,844/1,584,756 = 1,584,756/x
  3. Step 3: Cross multiply
    767,844x = 1,584,756 × 1,584,756
  4. Step 4: Simplify right side
    767,844x = 2,511,451,579,536
  5. Step 5: Solve for x
    x = 2,511,451,579,536/767,844
  6. Step 6: Final answer
    x = 3,270,783.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.