Finding the Third Proportional to 726,880,214 and 1,586,974,970
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Solution
The third proportional to 726,880,214 and 1,586,974,970 is: 3,464,793,107.45
Step by Step Solution
- Step 1: Write the proportion equation
726,880,214 : 1,586,974,970 = 1,586,974,970 : x - Step 2: Convert to fraction form
726,880,214/1,586,974,970 = 1,586,974,970/x - Step 3: Cross multiply
726,880,214x = 1,586,974,970 × 1,586,974,970 - Step 4: Simplify right side
726,880,214x = 2,518,489,555,406,500,864 - Step 5: Solve for x
x = 2,518,489,555,406,500,864/726,880,214 - Step 6: Final answer
x = 3,464,793,107.45
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.