Finding the Third Proportional to 947,054 and 1,448,769
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Solution
The third proportional to 947,054 and 1,448,769 is: 2,216,274.48
Step by Step Solution
- Step 1: Write the proportion equation
947,054 : 1,448,769 = 1,448,769 : x - Step 2: Convert to fraction form
947,054/1,448,769 = 1,448,769/x - Step 3: Cross multiply
947,054x = 1,448,769 × 1,448,769 - Step 4: Simplify right side
947,054x = 2,098,931,615,361 - Step 5: Solve for x
x = 2,098,931,615,361/947,054 - Step 6: Final answer
x = 2,216,274.48
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.