Finding the Third Proportional to 417,870 and 902,238
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Solution
The third proportional to 417,870 and 902,238 is: 1,948,054.20
Step by Step Solution
- Step 1: Write the proportion equation
417,870 : 902,238 = 902,238 : x - Step 2: Convert to fraction form
417,870/902,238 = 902,238/x - Step 3: Cross multiply
417,870x = 902,238 × 902,238 - Step 4: Simplify right side
417,870x = 814,033,408,644 - Step 5: Solve for x
x = 814,033,408,644/417,870 - Step 6: Final answer
x = 1,948,054.20
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.