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Finding the Third Proportional to 685,434 and 1,067,148

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Solution

The third proportional to 685,434 and 1,067,148 is: 1,661,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,434 : 1,067,148 = 1,067,148 : x
  2. Step 2: Convert to fraction form
    685,434/1,067,148 = 1,067,148/x
  3. Step 3: Cross multiply
    685,434x = 1,067,148 × 1,067,148
  4. Step 4: Simplify right side
    685,434x = 1,138,804,853,904
  5. Step 5: Solve for x
    x = 1,138,804,853,904/685,434
  6. Step 6: Final answer
    x = 1,661,436.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.