Finding the Third Proportional to 830,109 and 1,282,020
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Solution
The third proportional to 830,109 and 1,282,020 is: 1,979,951.16
Step by Step Solution
- Step 1: Write the proportion equation
830,109 : 1,282,020 = 1,282,020 : x - Step 2: Convert to fraction form
830,109/1,282,020 = 1,282,020/x - Step 3: Cross multiply
830,109x = 1,282,020 × 1,282,020 - Step 4: Simplify right side
830,109x = 1,643,575,280,400 - Step 5: Solve for x
x = 1,643,575,280,400/830,109 - Step 6: Final answer
x = 1,979,951.16
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.