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Finding the Third Proportional to 489,059 and 1,036,996

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Solution

The third proportional to 489,059 and 1,036,996 is: 2,198,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,059 : 1,036,996 = 1,036,996 : x
  2. Step 2: Convert to fraction form
    489,059/1,036,996 = 1,036,996/x
  3. Step 3: Cross multiply
    489,059x = 1,036,996 × 1,036,996
  4. Step 4: Simplify right side
    489,059x = 1,075,360,704,016
  5. Step 5: Solve for x
    x = 1,075,360,704,016/489,059
  6. Step 6: Final answer
    x = 2,198,836.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.