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Finding the Third Proportional to 623,920 and 967,848

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Solution

The third proportional to 623,920 and 967,848 is: 1,501,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,920 : 967,848 = 967,848 : x
  2. Step 2: Convert to fraction form
    623,920/967,848 = 967,848/x
  3. Step 3: Cross multiply
    623,920x = 967,848 × 967,848
  4. Step 4: Simplify right side
    623,920x = 936,729,751,104
  5. Step 5: Solve for x
    x = 936,729,751,104/623,920
  6. Step 6: Final answer
    x = 1,501,361.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.