Finding the Third Proportional to 493,978 and 1,026,710
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Solution
The third proportional to 493,978 and 1,026,710 is: 2,133,968.36
Step by Step Solution
- Step 1: Write the proportion equation
493,978 : 1,026,710 = 1,026,710 : x - Step 2: Convert to fraction form
493,978/1,026,710 = 1,026,710/x - Step 3: Cross multiply
493,978x = 1,026,710 × 1,026,710 - Step 4: Simplify right side
493,978x = 1,054,133,424,100 - Step 5: Solve for x
x = 1,054,133,424,100/493,978 - Step 6: Final answer
x = 2,133,968.36
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.