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Finding the Third Proportional to 654,874 and 978,271

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Solution

The third proportional to 654,874 and 978,271 is: 1,461,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,874 : 978,271 = 978,271 : x
  2. Step 2: Convert to fraction form
    654,874/978,271 = 978,271/x
  3. Step 3: Cross multiply
    654,874x = 978,271 × 978,271
  4. Step 4: Simplify right side
    654,874x = 957,014,149,441
  5. Step 5: Solve for x
    x = 957,014,149,441/654,874
  6. Step 6: Final answer
    x = 1,461,371.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.