Finding the Third Proportional to 507,946 and 1,116,170
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Solution
The third proportional to 507,946 and 1,116,170 is: 2,452,692.74
Step by Step Solution
- Step 1: Write the proportion equation
507,946 : 1,116,170 = 1,116,170 : x - Step 2: Convert to fraction form
507,946/1,116,170 = 1,116,170/x - Step 3: Cross multiply
507,946x = 1,116,170 × 1,116,170 - Step 4: Simplify right side
507,946x = 1,245,835,468,900 - Step 5: Solve for x
x = 1,245,835,468,900/507,946 - Step 6: Final answer
x = 2,452,692.74
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.