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Finding the Third Proportional to 511,008 and 1,074,983

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Solution

The third proportional to 511,008 and 1,074,983 is: 2,261,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,008 : 1,074,983 = 1,074,983 : x
  2. Step 2: Convert to fraction form
    511,008/1,074,983 = 1,074,983/x
  3. Step 3: Cross multiply
    511,008x = 1,074,983 × 1,074,983
  4. Step 4: Simplify right side
    511,008x = 1,155,588,450,289
  5. Step 5: Solve for x
    x = 1,155,588,450,289/511,008
  6. Step 6: Final answer
    x = 2,261,390.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.