Finding the Third Proportional to 675,729 and 1,469,043
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Solution
The third proportional to 675,729 and 1,469,043 is: 3,193,717.21
Step by Step Solution
- Step 1: Write the proportion equation
675,729 : 1,469,043 = 1,469,043 : x - Step 2: Convert to fraction form
675,729/1,469,043 = 1,469,043/x - Step 3: Cross multiply
675,729x = 1,469,043 × 1,469,043 - Step 4: Simplify right side
675,729x = 2,158,087,335,849 - Step 5: Solve for x
x = 2,158,087,335,849/675,729 - Step 6: Final answer
x = 3,193,717.21
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.