Finding the Third Proportional to 431,401 and 929,027
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Solution
The third proportional to 431,401 and 929,027 is: 2,000,670.30
Step by Step Solution
- Step 1: Write the proportion equation
431,401 : 929,027 = 929,027 : x - Step 2: Convert to fraction form
431,401/929,027 = 929,027/x - Step 3: Cross multiply
431,401x = 929,027 × 929,027 - Step 4: Simplify right side
431,401x = 863,091,166,729 - Step 5: Solve for x
x = 863,091,166,729/431,401 - Step 6: Final answer
x = 2,000,670.30
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.