Finding the Third Proportional to 784,728 and 1,694,952
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Solution
The third proportional to 784,728 and 1,694,952 is: 3,660,965.69
Step by Step Solution
- Step 1: Write the proportion equation
784,728 : 1,694,952 = 1,694,952 : x - Step 2: Convert to fraction form
784,728/1,694,952 = 1,694,952/x - Step 3: Cross multiply
784,728x = 1,694,952 × 1,694,952 - Step 4: Simplify right side
784,728x = 2,872,862,282,304 - Step 5: Solve for x
x = 2,872,862,282,304/784,728 - Step 6: Final answer
x = 3,660,965.69
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.