Finding the Third Proportional to 432,534 and 949,269
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Solution
The third proportional to 432,534 and 949,269 is: 2,083,331.33
Step by Step Solution
- Step 1: Write the proportion equation
432,534 : 949,269 = 949,269 : x - Step 2: Convert to fraction form
432,534/949,269 = 949,269/x - Step 3: Cross multiply
432,534x = 949,269 × 949,269 - Step 4: Simplify right side
432,534x = 901,111,634,361 - Step 5: Solve for x
x = 901,111,634,361/432,534 - Step 6: Final answer
x = 2,083,331.33
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.