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Finding the Third Proportional to 511,326 and 1,115,964

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Solution

The third proportional to 511,326 and 1,115,964 is: 2,435,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,326 : 1,115,964 = 1,115,964 : x
  2. Step 2: Convert to fraction form
    511,326/1,115,964 = 1,115,964/x
  3. Step 3: Cross multiply
    511,326x = 1,115,964 × 1,115,964
  4. Step 4: Simplify right side
    511,326x = 1,245,375,649,296
  5. Step 5: Solve for x
    x = 1,245,375,649,296/511,326
  6. Step 6: Final answer
    x = 2,435,580.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.