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Finding the Third Proportional to 654,892 and 978,318

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Solution

The third proportional to 654,892 and 978,318 is: 1,461,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,892 : 978,318 = 978,318 : x
  2. Step 2: Convert to fraction form
    654,892/978,318 = 978,318/x
  3. Step 3: Cross multiply
    654,892x = 978,318 × 978,318
  4. Step 4: Simplify right side
    654,892x = 957,106,109,124
  5. Step 5: Solve for x
    x = 957,106,109,124/654,892
  6. Step 6: Final answer
    x = 1,461,471.68

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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.