Finding the Third Proportional to 429,484 and 970,322
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Solution
The third proportional to 429,484 and 970,322 is: 2,192,223.19
Step by Step Solution
- Step 1: Write the proportion equation
429,484 : 970,322 = 970,322 : x - Step 2: Convert to fraction form
429,484/970,322 = 970,322/x - Step 3: Cross multiply
429,484x = 970,322 × 970,322 - Step 4: Simplify right side
429,484x = 941,524,783,684 - Step 5: Solve for x
x = 941,524,783,684/429,484 - Step 6: Final answer
x = 2,192,223.19
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.