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Finding the Third Proportional to 767,760 and 1,584,696

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Solution

The third proportional to 767,760 and 1,584,696 is: 3,270,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,760 : 1,584,696 = 1,584,696 : x
  2. Step 2: Convert to fraction form
    767,760/1,584,696 = 1,584,696/x
  3. Step 3: Cross multiply
    767,760x = 1,584,696 × 1,584,696
  4. Step 4: Simplify right side
    767,760x = 2,511,261,412,416
  5. Step 5: Solve for x
    x = 2,511,261,412,416/767,760
  6. Step 6: Final answer
    x = 3,270,893.79

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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.