Finding the Third Proportional to 649,548 and 1,020,288
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Solution
The third proportional to 649,548 and 1,020,288 is: 1,602,633.84
Step by Step Solution
- Step 1: Write the proportion equation
649,548 : 1,020,288 = 1,020,288 : x - Step 2: Convert to fraction form
649,548/1,020,288 = 1,020,288/x - Step 3: Cross multiply
649,548x = 1,020,288 × 1,020,288 - Step 4: Simplify right side
649,548x = 1,040,987,602,944 - Step 5: Solve for x
x = 1,040,987,602,944/649,548 - Step 6: Final answer
x = 1,602,633.84
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.