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Finding the Third Proportional to 501,980 and 978,736

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Solution

The third proportional to 501,980 and 978,736 is: 1,908,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,980 : 978,736 = 978,736 : x
  2. Step 2: Convert to fraction form
    501,980/978,736 = 978,736/x
  3. Step 3: Cross multiply
    501,980x = 978,736 × 978,736
  4. Step 4: Simplify right side
    501,980x = 957,924,157,696
  5. Step 5: Solve for x
    x = 957,924,157,696/501,980
  6. Step 6: Final answer
    x = 1,908,291.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.