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Finding the Third Proportional to 453,686 and 978,242

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Solution

The third proportional to 453,686 and 978,242 is: 2,109,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,686 : 978,242 = 978,242 : x
  2. Step 2: Convert to fraction form
    453,686/978,242 = 978,242/x
  3. Step 3: Cross multiply
    453,686x = 978,242 × 978,242
  4. Step 4: Simplify right side
    453,686x = 956,957,410,564
  5. Step 5: Solve for x
    x = 956,957,410,564/453,686
  6. Step 6: Final answer
    x = 2,109,294.56

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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.