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Finding the Third Proportional to 426,111.75 and 986,546.25

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Solution

The third proportional to 426,111.75 and 986,546.25 is: 2,284,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,111.75 : 986,546.25 = 986,546.25 : x
  2. Step 2: Convert to fraction form
    426,111.75/986,546.25 = 986,546.25/x
  3. Step 3: Cross multiply
    426,111.75x = 986,546.25 × 986,546.25
  4. Step 4: Simplify right side
    426,111.75x = 973,273,503,389.06
  5. Step 5: Solve for x
    x = 973,273,503,389.06/426,111.75
  6. Step 6: Final answer
    x = 2,284,080.42

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.