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Finding the Third Proportional to 511,017.50 and 1,075,002

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Solution

The third proportional to 511,017.50 and 1,075,002 is: 2,261,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,017.50 : 1,075,002 = 1,075,002 : x
  2. Step 2: Convert to fraction form
    511,017.50/1,075,002 = 1,075,002/x
  3. Step 3: Cross multiply
    511,017.50x = 1,075,002 × 1,075,002
  4. Step 4: Simplify right side
    511,017.50x = 1,155,629,300,004
  5. Step 5: Solve for x
    x = 1,155,629,300,004/511,017.50
  6. Step 6: Final answer
    x = 2,261,428.03

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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.