Finding the Third Proportional to 457,677 and 947,178
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Solution
The third proportional to 457,677 and 947,178 is: 1,960,216.84
Step by Step Solution
- Step 1: Write the proportion equation
457,677 : 947,178 = 947,178 : x - Step 2: Convert to fraction form
457,677/947,178 = 947,178/x - Step 3: Cross multiply
457,677x = 947,178 × 947,178 - Step 4: Simplify right side
457,677x = 897,146,163,684 - Step 5: Solve for x
x = 897,146,163,684/457,677 - Step 6: Final answer
x = 1,960,216.84
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.