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Finding the Third Proportional to 685,486 and 1,067,271

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Solution

The third proportional to 685,486 and 1,067,271 is: 1,661,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,486 : 1,067,271 = 1,067,271 : x
  2. Step 2: Convert to fraction form
    685,486/1,067,271 = 1,067,271/x
  3. Step 3: Cross multiply
    685,486x = 1,067,271 × 1,067,271
  4. Step 4: Simplify right side
    685,486x = 1,139,067,387,441
  5. Step 5: Solve for x
    x = 1,139,067,387,441/685,486
  6. Step 6: Final answer
    x = 1,661,693.15

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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.