Finding the Third Proportional to 523,728 and 1,124,964
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Solution
The third proportional to 523,728 and 1,124,964 is: 2,416,414.63
Step by Step Solution
- Step 1: Write the proportion equation
523,728 : 1,124,964 = 1,124,964 : x - Step 2: Convert to fraction form
523,728/1,124,964 = 1,124,964/x - Step 3: Cross multiply
523,728x = 1,124,964 × 1,124,964 - Step 4: Simplify right side
523,728x = 1,265,544,001,296 - Step 5: Solve for x
x = 1,265,544,001,296/523,728 - Step 6: Final answer
x = 2,416,414.63
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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.