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Finding the Third Proportional to 859,769 and 1,821,949

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Solution

The third proportional to 859,769 and 1,821,949 is: 3,860,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,769 : 1,821,949 = 1,821,949 : x
  2. Step 2: Convert to fraction form
    859,769/1,821,949 = 1,821,949/x
  3. Step 3: Cross multiply
    859,769x = 1,821,949 × 1,821,949
  4. Step 4: Simplify right side
    859,769x = 3,319,498,158,601
  5. Step 5: Solve for x
    x = 3,319,498,158,601/859,769
  6. Step 6: Final answer
    x = 3,860,918.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.