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Finding the Third Proportional to 654,913 and 978,325

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Solution

The third proportional to 654,913 and 978,325 is: 1,461,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,913 : 978,325 = 978,325 : x
  2. Step 2: Convert to fraction form
    654,913/978,325 = 978,325/x
  3. Step 3: Cross multiply
    654,913x = 978,325 × 978,325
  4. Step 4: Simplify right side
    654,913x = 957,119,805,625
  5. Step 5: Solve for x
    x = 957,119,805,625/654,913
  6. Step 6: Final answer
    x = 1,461,445.73

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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.