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Finding the Third Proportional to 455,024 and 978,736

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Solution

The third proportional to 455,024 and 978,736 is: 2,105,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,024 : 978,736 = 978,736 : x
  2. Step 2: Convert to fraction form
    455,024/978,736 = 978,736/x
  3. Step 3: Cross multiply
    455,024x = 978,736 × 978,736
  4. Step 4: Simplify right side
    455,024x = 957,924,157,696
  5. Step 5: Solve for x
    x = 957,924,157,696/455,024
  6. Step 6: Final answer
    x = 2,105,216.77

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Why These Related Problems?

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