Finding the Third Proportional to 322,322,136 and 690,597,243
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Solution
The third proportional to 322,322,136 and 690,597,243 is: 1,479,651,872.37
Step by Step Solution
- Step 1: Write the proportion equation
322,322,136 : 690,597,243 = 690,597,243 : x - Step 2: Convert to fraction form
322,322,136/690,597,243 = 690,597,243/x - Step 3: Cross multiply
322,322,136x = 690,597,243 × 690,597,243 - Step 4: Simplify right side
322,322,136x = 476,924,552,039,201,024 - Step 5: Solve for x
x = 476,924,552,039,201,024/322,322,136 - Step 6: Final answer
x = 1,479,651,872.37
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.