Finding the Third Proportional to 428,932 and 847,099
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Solution
The third proportional to 428,932 and 847,099 is: 1,672,938.17
Step by Step Solution
- Step 1: Write the proportion equation
428,932 : 847,099 = 847,099 : x - Step 2: Convert to fraction form
428,932/847,099 = 847,099/x - Step 3: Cross multiply
428,932x = 847,099 × 847,099 - Step 4: Simplify right side
428,932x = 717,576,715,801 - Step 5: Solve for x
x = 717,576,715,801/428,932 - Step 6: Final answer
x = 1,672,938.17
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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.