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Finding the Third Proportional to 451,840 and 978,069

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Solution

The third proportional to 451,840 and 978,069 is: 2,117,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,840 : 978,069 = 978,069 : x
  2. Step 2: Convert to fraction form
    451,840/978,069 = 978,069/x
  3. Step 3: Cross multiply
    451,840x = 978,069 × 978,069
  4. Step 4: Simplify right side
    451,840x = 956,618,968,761
  5. Step 5: Solve for x
    x = 956,618,968,761/451,840
  6. Step 6: Final answer
    x = 2,117,163.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.