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Finding the Third Proportional to 579,830 and 922,449

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Solution

The third proportional to 579,830 and 922,449 is: 1,467,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,830 : 922,449 = 922,449 : x
  2. Step 2: Convert to fraction form
    579,830/922,449 = 922,449/x
  3. Step 3: Cross multiply
    579,830x = 922,449 × 922,449
  4. Step 4: Simplify right side
    579,830x = 850,912,157,601
  5. Step 5: Solve for x
    x = 850,912,157,601/579,830
  6. Step 6: Final answer
    x = 1,467,520.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.