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Finding the Third Proportional to 416,236.22 and 891,521.44

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Solution

The third proportional to 416,236.22 and 891,521.44 is: 1,909,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,236.22 : 891,521.44 = 891,521.44 : x
  2. Step 2: Convert to fraction form
    416,236.22/891,521.44 = 891,521.44/x
  3. Step 3: Cross multiply
    416,236.22x = 891,521.44 × 891,521.44
  4. Step 4: Simplify right side
    416,236.22x = 794,810,473,522.07
  5. Step 5: Solve for x
    x = 794,810,473,522.07/416,236.22
  6. Step 6: Final answer
    x = 1,909,517.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.