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Finding the Third Proportional to 456,648.75 and 986,469.75

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Solution

The third proportional to 456,648.75 and 986,469.75 is: 2,131,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,648.75 : 986,469.75 = 986,469.75 : x
  2. Step 2: Convert to fraction form
    456,648.75/986,469.75 = 986,469.75/x
  3. Step 3: Cross multiply
    456,648.75x = 986,469.75 × 986,469.75
  4. Step 4: Simplify right side
    456,648.75x = 973,122,567,665.06
  5. Step 5: Solve for x
    x = 973,122,567,665.06/456,648.75
  6. Step 6: Final answer
    x = 2,131,008.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.