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Finding the Third Proportional to 579,828 and 922,446

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Solution

The third proportional to 579,828 and 922,446 is: 1,467,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,828 : 922,446 = 922,446 : x
  2. Step 2: Convert to fraction form
    579,828/922,446 = 922,446/x
  3. Step 3: Cross multiply
    579,828x = 922,446 × 922,446
  4. Step 4: Simplify right side
    579,828x = 850,906,622,916
  5. Step 5: Solve for x
    x = 850,906,622,916/579,828
  6. Step 6: Final answer
    x = 1,467,515.58

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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.