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Finding the Third Proportional to 511,201 and 1,075,286

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Solution

The third proportional to 511,201 and 1,075,286 is: 2,261,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,201 : 1,075,286 = 1,075,286 : x
  2. Step 2: Convert to fraction form
    511,201/1,075,286 = 1,075,286/x
  3. Step 3: Cross multiply
    511,201x = 1,075,286 × 1,075,286
  4. Step 4: Simplify right side
    511,201x = 1,156,239,981,796
  5. Step 5: Solve for x
    x = 1,156,239,981,796/511,201
  6. Step 6: Final answer
    x = 2,261,810.88

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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.