Finding the Third Proportional to 840,256 and 1,843,784
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Solution
The third proportional to 840,256 and 1,843,784 is: 4,045,837.74
Step by Step Solution
- Step 1: Write the proportion equation
840,256 : 1,843,784 = 1,843,784 : x - Step 2: Convert to fraction form
840,256/1,843,784 = 1,843,784/x - Step 3: Cross multiply
840,256x = 1,843,784 × 1,843,784 - Step 4: Simplify right side
840,256x = 3,399,539,438,656 - Step 5: Solve for x
x = 3,399,539,438,656/840,256 - Step 6: Final answer
x = 4,045,837.74
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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.