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Finding the Third Proportional to 489,054 and 1,036,986

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Solution

The third proportional to 489,054 and 1,036,986 is: 2,198,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,054 : 1,036,986 = 1,036,986 : x
  2. Step 2: Convert to fraction form
    489,054/1,036,986 = 1,036,986/x
  3. Step 3: Cross multiply
    489,054x = 1,036,986 × 1,036,986
  4. Step 4: Simplify right side
    489,054x = 1,075,339,964,196
  5. Step 5: Solve for x
    x = 1,075,339,964,196/489,054
  6. Step 6: Final answer
    x = 2,198,816.42

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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.