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Finding the Third Proportional to 620,774 and 949,211

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Solution

The third proportional to 620,774 and 949,211 is: 1,451,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,774 : 949,211 = 949,211 : x
  2. Step 2: Convert to fraction form
    620,774/949,211 = 949,211/x
  3. Step 3: Cross multiply
    620,774x = 949,211 × 949,211
  4. Step 4: Simplify right side
    620,774x = 901,001,522,521
  5. Step 5: Solve for x
    x = 901,001,522,521/620,774
  6. Step 6: Final answer
    x = 1,451,416.33

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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.