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Finding the Third Proportional to 450,408 and 978,696

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Solution

The third proportional to 450,408 and 978,696 is: 2,126,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,408 : 978,696 = 978,696 : x
  2. Step 2: Convert to fraction form
    450,408/978,696 = 978,696/x
  3. Step 3: Cross multiply
    450,408x = 978,696 × 978,696
  4. Step 4: Simplify right side
    450,408x = 957,845,860,416
  5. Step 5: Solve for x
    x = 957,845,860,416/450,408
  6. Step 6: Final answer
    x = 2,126,618.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.