Finding the Third Proportional to 830,624 and 1,301,301
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Solution
The third proportional to 830,624 and 1,301,301 is: 2,038,689.34
Step by Step Solution
- Step 1: Write the proportion equation
830,624 : 1,301,301 = 1,301,301 : x - Step 2: Convert to fraction form
830,624/1,301,301 = 1,301,301/x - Step 3: Cross multiply
830,624x = 1,301,301 × 1,301,301 - Step 4: Simplify right side
830,624x = 1,693,384,292,601 - Step 5: Solve for x
x = 1,693,384,292,601/830,624 - Step 6: Final answer
x = 2,038,689.34
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.