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Finding the Third Proportional to 511,022.25 and 1,075,005

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Solution

The third proportional to 511,022.25 and 1,075,005 is: 2,261,419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,022.25 : 1,075,005 = 1,075,005 : x
  2. Step 2: Convert to fraction form
    511,022.25/1,075,005 = 1,075,005/x
  3. Step 3: Cross multiply
    511,022.25x = 1,075,005 × 1,075,005
  4. Step 4: Simplify right side
    511,022.25x = 1,155,635,750,025
  5. Step 5: Solve for x
    x = 1,155,635,750,025/511,022.25
  6. Step 6: Final answer
    x = 2,261,419.63

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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.