Finding the Third Proportional to 491,742 and 1,062,216
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Solution
The third proportional to 491,742 and 1,062,216 is: 2,294,501.65
Step by Step Solution
- Step 1: Write the proportion equation
491,742 : 1,062,216 = 1,062,216 : x - Step 2: Convert to fraction form
491,742/1,062,216 = 1,062,216/x - Step 3: Cross multiply
491,742x = 1,062,216 × 1,062,216 - Step 4: Simplify right side
491,742x = 1,128,302,830,656 - Step 5: Solve for x
x = 1,128,302,830,656/491,742 - Step 6: Final answer
x = 2,294,501.65
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.