Finding the Third Proportional to 878,729 and 1,406,538
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Solution
The third proportional to 878,729 and 1,406,538 is: 2,251,375.73
Step by Step Solution
- Step 1: Write the proportion equation
878,729 : 1,406,538 = 1,406,538 : x - Step 2: Convert to fraction form
878,729/1,406,538 = 1,406,538/x - Step 3: Cross multiply
878,729x = 1,406,538 × 1,406,538 - Step 4: Simplify right side
878,729x = 1,978,349,145,444 - Step 5: Solve for x
x = 1,978,349,145,444/878,729 - Step 6: Final answer
x = 2,251,375.73
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.