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Finding the Third Proportional to 455,004 and 978,696

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Solution

The third proportional to 455,004 and 978,696 is: 2,105,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,004 : 978,696 = 978,696 : x
  2. Step 2: Convert to fraction form
    455,004/978,696 = 978,696/x
  3. Step 3: Cross multiply
    455,004x = 978,696 × 978,696
  4. Step 4: Simplify right side
    455,004x = 957,845,860,416
  5. Step 5: Solve for x
    x = 957,845,860,416/455,004
  6. Step 6: Final answer
    x = 2,105,137.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.