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Finding the Third Proportional to 479,974.50 and 1,018,977.75

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Solution

The third proportional to 479,974.50 and 1,018,977.75 is: 2,163,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,974.50 : 1,018,977.75 = 1,018,977.75 : x
  2. Step 2: Convert to fraction form
    479,974.50/1,018,977.75 = 1,018,977.75/x
  3. Step 3: Cross multiply
    479,974.50x = 1,018,977.75 × 1,018,977.75
  4. Step 4: Simplify right side
    479,974.50x = 1,038,315,654,995.06
  5. Step 5: Solve for x
    x = 1,038,315,654,995.06/479,974.50
  6. Step 6: Final answer
    x = 2,163,272.54

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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.