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Finding the Third Proportional to 770,522.63 and 1,227,134.81

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Solution

The third proportional to 770,522.63 and 1,227,134.81 is: 1,954,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,522.63 : 1,227,134.81 = 1,227,134.81 : x
  2. Step 2: Convert to fraction form
    770,522.63/1,227,134.81 = 1,227,134.81/x
  3. Step 3: Cross multiply
    770,522.63x = 1,227,134.81 × 1,227,134.81
  4. Step 4: Simplify right side
    770,522.63x = 1,505,859,848,049.41
  5. Step 5: Solve for x
    x = 1,505,859,848,049.41/770,522.63
  6. Step 6: Final answer
    x = 1,954,335.67

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.