Finding the Third Proportional to 520,742 and 1,082,946
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Solution
The third proportional to 520,742 and 1,082,946 is: 2,252,117.25
Step by Step Solution
- Step 1: Write the proportion equation
520,742 : 1,082,946 = 1,082,946 : x - Step 2: Convert to fraction form
520,742/1,082,946 = 1,082,946/x - Step 3: Cross multiply
520,742x = 1,082,946 × 1,082,946 - Step 4: Simplify right side
520,742x = 1,172,772,038,916 - Step 5: Solve for x
x = 1,172,772,038,916/520,742 - Step 6: Final answer
x = 2,252,117.25
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.