Finding the Third Proportional to 583,364 and 1,227,784
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Solution
The third proportional to 583,364 and 1,227,784 is: 2,584,070.24
Step by Step Solution
- Step 1: Write the proportion equation
583,364 : 1,227,784 = 1,227,784 : x - Step 2: Convert to fraction form
583,364/1,227,784 = 1,227,784/x - Step 3: Cross multiply
583,364x = 1,227,784 × 1,227,784 - Step 4: Simplify right side
583,364x = 1,507,453,550,656 - Step 5: Solve for x
x = 1,507,453,550,656/583,364 - Step 6: Final answer
x = 2,584,070.24
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.