Finding the Third Proportional to 832,784 and 1,851,904
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Solution
The third proportional to 832,784 and 1,851,904 is: 4,118,172.81
Step by Step Solution
- Step 1: Write the proportion equation
832,784 : 1,851,904 = 1,851,904 : x - Step 2: Convert to fraction form
832,784/1,851,904 = 1,851,904/x - Step 3: Cross multiply
832,784x = 1,851,904 × 1,851,904 - Step 4: Simplify right side
832,784x = 3,429,548,425,216 - Step 5: Solve for x
x = 3,429,548,425,216/832,784 - Step 6: Final answer
x = 4,118,172.81
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.