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Finding the Third Proportional to 883,682 and 1,351,225

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Solution

The third proportional to 883,682 and 1,351,225 is: 2,066,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,682 : 1,351,225 = 1,351,225 : x
  2. Step 2: Convert to fraction form
    883,682/1,351,225 = 1,351,225/x
  3. Step 3: Cross multiply
    883,682x = 1,351,225 × 1,351,225
  4. Step 4: Simplify right side
    883,682x = 1,825,809,000,625
  5. Step 5: Solve for x
    x = 1,825,809,000,625/883,682
  6. Step 6: Final answer
    x = 2,066,138.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.