Finding the Third Proportional to 509,424 and 1,093,992
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Solution
The third proportional to 509,424 and 1,093,992 is: 2,349,356.32
Step by Step Solution
- Step 1: Write the proportion equation
509,424 : 1,093,992 = 1,093,992 : x - Step 2: Convert to fraction form
509,424/1,093,992 = 1,093,992/x - Step 3: Cross multiply
509,424x = 1,093,992 × 1,093,992 - Step 4: Simplify right side
509,424x = 1,196,818,496,064 - Step 5: Solve for x
x = 1,196,818,496,064/509,424 - Step 6: Final answer
x = 2,349,356.32
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.