Finding the Third Proportional to 840,294 and 1,843,857
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Solution
The third proportional to 840,294 and 1,843,857 is: 4,045,975.14
Step by Step Solution
- Step 1: Write the proportion equation
840,294 : 1,843,857 = 1,843,857 : x - Step 2: Convert to fraction form
840,294/1,843,857 = 1,843,857/x - Step 3: Cross multiply
840,294x = 1,843,857 × 1,843,857 - Step 4: Simplify right side
840,294x = 3,399,808,636,449 - Step 5: Solve for x
x = 3,399,808,636,449/840,294 - Step 6: Final answer
x = 4,045,975.14
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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.