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Finding the Third Proportional to 489,056 and 1,036,990

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Solution

The third proportional to 489,056 and 1,036,990 is: 2,198,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,056 : 1,036,990 = 1,036,990 : x
  2. Step 2: Convert to fraction form
    489,056/1,036,990 = 1,036,990/x
  3. Step 3: Cross multiply
    489,056x = 1,036,990 × 1,036,990
  4. Step 4: Simplify right side
    489,056x = 1,075,348,260,100
  5. Step 5: Solve for x
    x = 1,075,348,260,100/489,056
  6. Step 6: Final answer
    x = 2,198,824.39

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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.