Finding the Third Proportional to 442,165 and 947,420
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Solution
The third proportional to 442,165 and 947,420 is: 2,030,021.95
Step by Step Solution
- Step 1: Write the proportion equation
442,165 : 947,420 = 947,420 : x - Step 2: Convert to fraction form
442,165/947,420 = 947,420/x - Step 3: Cross multiply
442,165x = 947,420 × 947,420 - Step 4: Simplify right side
442,165x = 897,604,656,400 - Step 5: Solve for x
x = 897,604,656,400/442,165 - Step 6: Final answer
x = 2,030,021.95
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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.