Finding the Third Proportional to 284,817,962 and 584,734,972
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Solution
The third proportional to 284,817,962 and 584,734,972 is: 1,200,468,485.48
Step by Step Solution
- Step 1: Write the proportion equation
284,817,962 : 584,734,972 = 584,734,972 : x - Step 2: Convert to fraction form
284,817,962/584,734,972 = 584,734,972/x - Step 3: Cross multiply
284,817,962x = 584,734,972 × 584,734,972 - Step 4: Simplify right side
284,817,962x = 341,914,987,479,840,768 - Step 5: Solve for x
x = 341,914,987,479,840,768/284,817,962 - Step 6: Final answer
x = 1,200,468,485.48
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.