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Finding the Third Proportional to 511,284 and 1,121,958

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Solution

The third proportional to 511,284 and 1,121,958 is: 2,462,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,284 : 1,121,958 = 1,121,958 : x
  2. Step 2: Convert to fraction form
    511,284/1,121,958 = 1,121,958/x
  3. Step 3: Cross multiply
    511,284x = 1,121,958 × 1,121,958
  4. Step 4: Simplify right side
    511,284x = 1,258,789,753,764
  5. Step 5: Solve for x
    x = 1,258,789,753,764/511,284
  6. Step 6: Final answer
    x = 2,462,016.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.