Finding the Third Proportional to 442,436 and 942,784
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Solution
The third proportional to 442,436 and 942,784 is: 2,008,972.30
Step by Step Solution
- Step 1: Write the proportion equation
442,436 : 942,784 = 942,784 : x - Step 2: Convert to fraction form
442,436/942,784 = 942,784/x - Step 3: Cross multiply
442,436x = 942,784 × 942,784 - Step 4: Simplify right side
442,436x = 888,841,670,656 - Step 5: Solve for x
x = 888,841,670,656/442,436 - Step 6: Final answer
x = 2,008,972.30
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.