Finding the Third Proportional to 612,144 and 1,322,649
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Solution
The third proportional to 612,144 and 1,322,649 is: 2,857,824.92
Step by Step Solution
- Step 1: Write the proportion equation
612,144 : 1,322,649 = 1,322,649 : x - Step 2: Convert to fraction form
612,144/1,322,649 = 1,322,649/x - Step 3: Cross multiply
612,144x = 1,322,649 × 1,322,649 - Step 4: Simplify right side
612,144x = 1,749,400,377,201 - Step 5: Solve for x
x = 1,749,400,377,201/612,144 - Step 6: Final answer
x = 2,857,824.92
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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.