Finding the Third Proportional to 431,584 and 1,008,043
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Solution
The third proportional to 431,584 and 1,008,043 is: 2,354,467.94
Step by Step Solution
- Step 1: Write the proportion equation
431,584 : 1,008,043 = 1,008,043 : x - Step 2: Convert to fraction form
431,584/1,008,043 = 1,008,043/x - Step 3: Cross multiply
431,584x = 1,008,043 × 1,008,043 - Step 4: Simplify right side
431,584x = 1,016,150,689,849 - Step 5: Solve for x
x = 1,016,150,689,849/431,584 - Step 6: Final answer
x = 2,354,467.94
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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.