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Finding the Third Proportional to 585,816 and 889,956

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Solution

The third proportional to 585,816 and 889,956 is: 1,351,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,816 : 889,956 = 889,956 : x
  2. Step 2: Convert to fraction form
    585,816/889,956 = 889,956/x
  3. Step 3: Cross multiply
    585,816x = 889,956 × 889,956
  4. Step 4: Simplify right side
    585,816x = 792,021,681,936
  5. Step 5: Solve for x
    x = 792,021,681,936/585,816
  6. Step 6: Final answer
    x = 1,351,997.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.