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Finding the Third Proportional to 620,894 and 949,161

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Solution

The third proportional to 620,894 and 949,161 is: 1,450,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,894 : 949,161 = 949,161 : x
  2. Step 2: Convert to fraction form
    620,894/949,161 = 949,161/x
  3. Step 3: Cross multiply
    620,894x = 949,161 × 949,161
  4. Step 4: Simplify right side
    620,894x = 900,906,603,921
  5. Step 5: Solve for x
    x = 900,906,603,921/620,894
  6. Step 6: Final answer
    x = 1,450,982.94

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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.