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Finding the Third Proportional to 453,673 and 978,216

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Solution

The third proportional to 453,673 and 978,216 is: 2,109,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,673 : 978,216 = 978,216 : x
  2. Step 2: Convert to fraction form
    453,673/978,216 = 978,216/x
  3. Step 3: Cross multiply
    453,673x = 978,216 × 978,216
  4. Step 4: Simplify right side
    453,673x = 956,906,542,656
  5. Step 5: Solve for x
    x = 956,906,542,656/453,673
  6. Step 6: Final answer
    x = 2,109,242.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.