Finding the Third Proportional to 509,118 and 1,005,384
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Solution
The third proportional to 509,118 and 1,005,384 is: 1,985,388.43
Step by Step Solution
- Step 1: Write the proportion equation
509,118 : 1,005,384 = 1,005,384 : x - Step 2: Convert to fraction form
509,118/1,005,384 = 1,005,384/x - Step 3: Cross multiply
509,118x = 1,005,384 × 1,005,384 - Step 4: Simplify right side
509,118x = 1,010,796,987,456 - Step 5: Solve for x
x = 1,010,796,987,456/509,118 - Step 6: Final answer
x = 1,985,388.43
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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.