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Finding the Third Proportional to 768,949 and 1,685,979

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Solution

The third proportional to 768,949 and 1,685,979 is: 3,696,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,949 : 1,685,979 = 1,685,979 : x
  2. Step 2: Convert to fraction form
    768,949/1,685,979 = 1,685,979/x
  3. Step 3: Cross multiply
    768,949x = 1,685,979 × 1,685,979
  4. Step 4: Simplify right side
    768,949x = 2,842,525,188,441
  5. Step 5: Solve for x
    x = 2,842,525,188,441/768,949
  6. Step 6: Final answer
    x = 3,696,636.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.