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Finding the Third Proportional to 453,764 and 978,238

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Solution

The third proportional to 453,764 and 978,238 is: 2,108,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,764 : 978,238 = 978,238 : x
  2. Step 2: Convert to fraction form
    453,764/978,238 = 978,238/x
  3. Step 3: Cross multiply
    453,764x = 978,238 × 978,238
  4. Step 4: Simplify right side
    453,764x = 956,949,584,644
  5. Step 5: Solve for x
    x = 956,949,584,644/453,764
  6. Step 6: Final answer
    x = 2,108,914.73

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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.