Finding the Third Proportional to 940,434 and 1,408,464
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Solution
The third proportional to 940,434 and 1,408,464 is: 2,109,420.59
Step by Step Solution
- Step 1: Write the proportion equation
940,434 : 1,408,464 = 1,408,464 : x - Step 2: Convert to fraction form
940,434/1,408,464 = 1,408,464/x - Step 3: Cross multiply
940,434x = 1,408,464 × 1,408,464 - Step 4: Simplify right side
940,434x = 1,983,770,839,296 - Step 5: Solve for x
x = 1,983,770,839,296/940,434 - Step 6: Final answer
x = 2,109,420.59
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.