Finding the Third Proportional to 677,296 and 1,447,904
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Solution
The third proportional to 677,296 and 1,447,904 is: 3,095,287.72
Step by Step Solution
- Step 1: Write the proportion equation
677,296 : 1,447,904 = 1,447,904 : x - Step 2: Convert to fraction form
677,296/1,447,904 = 1,447,904/x - Step 3: Cross multiply
677,296x = 1,447,904 × 1,447,904 - Step 4: Simplify right side
677,296x = 2,096,425,993,216 - Step 5: Solve for x
x = 2,096,425,993,216/677,296 - Step 6: Final answer
x = 3,095,287.72
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.