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Finding the Third Proportional to 511,062 and 1,075,086

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Solution

The third proportional to 511,062 and 1,075,086 is: 2,261,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,062 : 1,075,086 = 1,075,086 : x
  2. Step 2: Convert to fraction form
    511,062/1,075,086 = 1,075,086/x
  3. Step 3: Cross multiply
    511,062x = 1,075,086 × 1,075,086
  4. Step 4: Simplify right side
    511,062x = 1,155,809,907,396
  5. Step 5: Solve for x
    x = 1,155,809,907,396/511,062
  6. Step 6: Final answer
    x = 2,261,584.52

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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.