Finding the Third Proportional to 463,523 and 1,116,284
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Solution
The third proportional to 463,523 and 1,116,284 is: 2,688,302.35
Step by Step Solution
- Step 1: Write the proportion equation
463,523 : 1,116,284 = 1,116,284 : x - Step 2: Convert to fraction form
463,523/1,116,284 = 1,116,284/x - Step 3: Cross multiply
463,523x = 1,116,284 × 1,116,284 - Step 4: Simplify right side
463,523x = 1,246,089,968,656 - Step 5: Solve for x
x = 1,246,089,968,656/463,523 - Step 6: Final answer
x = 2,688,302.35
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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.