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Finding the Third Proportional to 654,916 and 978,329

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Solution

The third proportional to 654,916 and 978,329 is: 1,461,450.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,916 : 978,329 = 978,329 : x
  2. Step 2: Convert to fraction form
    654,916/978,329 = 978,329/x
  3. Step 3: Cross multiply
    654,916x = 978,329 × 978,329
  4. Step 4: Simplify right side
    654,916x = 957,127,632,241
  5. Step 5: Solve for x
    x = 957,127,632,241/654,916
  6. Step 6: Final answer
    x = 1,461,450.98

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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.