Finding the Third Proportional to 980,098 and 1,578,952
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Solution
The third proportional to 980,098 and 1,578,952 is: 2,543,714.42
Step by Step Solution
- Step 1: Write the proportion equation
980,098 : 1,578,952 = 1,578,952 : x - Step 2: Convert to fraction form
980,098/1,578,952 = 1,578,952/x - Step 3: Cross multiply
980,098x = 1,578,952 × 1,578,952 - Step 4: Simplify right side
980,098x = 2,493,089,418,304 - Step 5: Solve for x
x = 2,493,089,418,304/980,098 - Step 6: Final answer
x = 2,543,714.42
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.