Finding the Third Proportional to 970,806 and 1,519,575
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Solution
The third proportional to 970,806 and 1,519,575 is: 2,378,547.50
Step by Step Solution
- Step 1: Write the proportion equation
970,806 : 1,519,575 = 1,519,575 : x - Step 2: Convert to fraction form
970,806/1,519,575 = 1,519,575/x - Step 3: Cross multiply
970,806x = 1,519,575 × 1,519,575 - Step 4: Simplify right side
970,806x = 2,309,108,180,625 - Step 5: Solve for x
x = 2,309,108,180,625/970,806 - Step 6: Final answer
x = 2,378,547.50
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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.