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Finding the Third Proportional to 373,986 and 822,738

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Solution

The third proportional to 373,986 and 822,738 is: 1,809,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,986 : 822,738 = 822,738 : x
  2. Step 2: Convert to fraction form
    373,986/822,738 = 822,738/x
  3. Step 3: Cross multiply
    373,986x = 822,738 × 822,738
  4. Step 4: Simplify right side
    373,986x = 676,897,816,644
  5. Step 5: Solve for x
    x = 676,897,816,644/373,986
  6. Step 6: Final answer
    x = 1,809,954.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.