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Finding the Third Proportional to 654,867 and 978,259

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Solution

The third proportional to 654,867 and 978,259 is: 1,461,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,867 : 978,259 = 978,259 : x
  2. Step 2: Convert to fraction form
    654,867/978,259 = 978,259/x
  3. Step 3: Cross multiply
    654,867x = 978,259 × 978,259
  4. Step 4: Simplify right side
    654,867x = 956,990,671,081
  5. Step 5: Solve for x
    x = 956,990,671,081/654,867
  6. Step 6: Final answer
    x = 1,461,351.19

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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.