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Finding the Third Proportional to 511,852 and 1,196,157

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Solution

The third proportional to 511,852 and 1,196,157 is: 2,795,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,852 : 1,196,157 = 1,196,157 : x
  2. Step 2: Convert to fraction form
    511,852/1,196,157 = 1,196,157/x
  3. Step 3: Cross multiply
    511,852x = 1,196,157 × 1,196,157
  4. Step 4: Simplify right side
    511,852x = 1,430,791,568,649
  5. Step 5: Solve for x
    x = 1,430,791,568,649/511,852
  6. Step 6: Final answer
    x = 2,795,322.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.