Finding the Third Proportional to 940,624 and 1,419,416
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Solution
The third proportional to 940,624 and 1,419,416 is: 2,141,920.45
Step by Step Solution
- Step 1: Write the proportion equation
940,624 : 1,419,416 = 1,419,416 : x - Step 2: Convert to fraction form
940,624/1,419,416 = 1,419,416/x - Step 3: Cross multiply
940,624x = 1,419,416 × 1,419,416 - Step 4: Simplify right side
940,624x = 2,014,741,781,056 - Step 5: Solve for x
x = 2,014,741,781,056/940,624 - Step 6: Final answer
x = 2,141,920.45
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.