Finding the Third Proportional to 314,875,727 and 683,274,178
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Solution
The third proportional to 314,875,727 and 683,274,178 is: 1,482,691,621.77
Step by Step Solution
- Step 1: Write the proportion equation
314,875,727 : 683,274,178 = 683,274,178 : x - Step 2: Convert to fraction form
314,875,727/683,274,178 = 683,274,178/x - Step 3: Cross multiply
314,875,727x = 683,274,178 × 683,274,178 - Step 4: Simplify right side
314,875,727x = 466,863,602,321,575,680 - Step 5: Solve for x
x = 466,863,602,321,575,680/314,875,727 - Step 6: Final answer
x = 1,482,691,621.77
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.