Finding the Third Proportional to 442,140 and 947,370
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Solution
The third proportional to 442,140 and 947,370 is: 2,029,922.46
Step by Step Solution
- Step 1: Write the proportion equation
442,140 : 947,370 = 947,370 : x - Step 2: Convert to fraction form
442,140/947,370 = 947,370/x - Step 3: Cross multiply
442,140x = 947,370 × 947,370 - Step 4: Simplify right side
442,140x = 897,509,916,900 - Step 5: Solve for x
x = 897,509,916,900/442,140 - Step 6: Final answer
x = 2,029,922.46
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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.