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Finding the Third Proportional to 598,857 and 923,073

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Solution

The third proportional to 598,857 and 923,073 is: 1,422,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,857 : 923,073 = 923,073 : x
  2. Step 2: Convert to fraction form
    598,857/923,073 = 923,073/x
  3. Step 3: Cross multiply
    598,857x = 923,073 × 923,073
  4. Step 4: Simplify right side
    598,857x = 852,063,763,329
  5. Step 5: Solve for x
    x = 852,063,763,329/598,857
  6. Step 6: Final answer
    x = 1,422,816.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.