Finding the Third Proportional to 456,384 and 941,856
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Solution
The third proportional to 456,384 and 941,856 is: 1,943,741.95
Step by Step Solution
- Step 1: Write the proportion equation
456,384 : 941,856 = 941,856 : x - Step 2: Convert to fraction form
456,384/941,856 = 941,856/x - Step 3: Cross multiply
456,384x = 941,856 × 941,856 - Step 4: Simplify right side
456,384x = 887,092,724,736 - Step 5: Solve for x
x = 887,092,724,736/456,384 - Step 6: Final answer
x = 1,943,741.95
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.