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Finding the Third Proportional to 397,094 and 856,396

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Solution

The third proportional to 397,094 and 856,396 is: 1,846,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,094 : 856,396 = 856,396 : x
  2. Step 2: Convert to fraction form
    397,094/856,396 = 856,396/x
  3. Step 3: Cross multiply
    397,094x = 856,396 × 856,396
  4. Step 4: Simplify right side
    397,094x = 733,414,108,816
  5. Step 5: Solve for x
    x = 733,414,108,816/397,094
  6. Step 6: Final answer
    x = 1,846,953.39

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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.