Finding the Third Proportional to 654,112 and 1,413,216
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Solution
The third proportional to 654,112 and 1,413,216 is: 3,053,268.34
Step by Step Solution
- Step 1: Write the proportion equation
654,112 : 1,413,216 = 1,413,216 : x - Step 2: Convert to fraction form
654,112/1,413,216 = 1,413,216/x - Step 3: Cross multiply
654,112x = 1,413,216 × 1,413,216 - Step 4: Simplify right side
654,112x = 1,997,179,462,656 - Step 5: Solve for x
x = 1,997,179,462,656/654,112 - Step 6: Final answer
x = 3,053,268.34
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.