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Finding the Third Proportional to 449,091 and 970,149

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Solution

The third proportional to 449,091 and 970,149 is: 2,095,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,091 : 970,149 = 970,149 : x
  2. Step 2: Convert to fraction form
    449,091/970,149 = 970,149/x
  3. Step 3: Cross multiply
    449,091x = 970,149 × 970,149
  4. Step 4: Simplify right side
    449,091x = 941,189,082,201
  5. Step 5: Solve for x
    x = 941,189,082,201/449,091
  6. Step 6: Final answer
    x = 2,095,764.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.