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Finding the Third Proportional to 685,110 and 1,444,080

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Solution

The third proportional to 685,110 and 1,444,080 is: 3,043,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,110 : 1,444,080 = 1,444,080 : x
  2. Step 2: Convert to fraction form
    685,110/1,444,080 = 1,444,080/x
  3. Step 3: Cross multiply
    685,110x = 1,444,080 × 1,444,080
  4. Step 4: Simplify right side
    685,110x = 2,085,367,046,400
  5. Step 5: Solve for x
    x = 2,085,367,046,400/685,110
  6. Step 6: Final answer
    x = 3,043,842.66

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.