Finding the Third Proportional to 500,650 and 1,036,784
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Solution
The third proportional to 500,650 and 1,036,784 is: 2,147,050.96
Step by Step Solution
- Step 1: Write the proportion equation
500,650 : 1,036,784 = 1,036,784 : x - Step 2: Convert to fraction form
500,650/1,036,784 = 1,036,784/x - Step 3: Cross multiply
500,650x = 1,036,784 × 1,036,784 - Step 4: Simplify right side
500,650x = 1,074,921,062,656 - Step 5: Solve for x
x = 1,074,921,062,656/500,650 - Step 6: Final answer
x = 2,147,050.96
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.