Finding the Third Proportional to 768,938 and 1,682,634
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Solution
The third proportional to 768,938 and 1,682,634 is: 3,682,035.71
Step by Step Solution
- Step 1: Write the proportion equation
768,938 : 1,682,634 = 1,682,634 : x - Step 2: Convert to fraction form
768,938/1,682,634 = 1,682,634/x - Step 3: Cross multiply
768,938x = 1,682,634 × 1,682,634 - Step 4: Simplify right side
768,938x = 2,831,257,177,956 - Step 5: Solve for x
x = 2,831,257,177,956/768,938 - Step 6: Final answer
x = 3,682,035.71
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.