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Finding the Third Proportional to 511,024 and 1,075,016

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Solution

The third proportional to 511,024 and 1,075,016 is: 2,261,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,024 : 1,075,016 = 1,075,016 : x
  2. Step 2: Convert to fraction form
    511,024/1,075,016 = 1,075,016/x
  3. Step 3: Cross multiply
    511,024x = 1,075,016 × 1,075,016
  4. Step 4: Simplify right side
    511,024x = 1,155,659,400,256
  5. Step 5: Solve for x
    x = 1,155,659,400,256/511,024
  6. Step 6: Final answer
    x = 2,261,458.17

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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.