Finding the Third Proportional to 853,974 and 1,309,905
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Solution
The third proportional to 853,974 and 1,309,905 is: 2,009,254.51
Step by Step Solution
- Step 1: Write the proportion equation
853,974 : 1,309,905 = 1,309,905 : x - Step 2: Convert to fraction form
853,974/1,309,905 = 1,309,905/x - Step 3: Cross multiply
853,974x = 1,309,905 × 1,309,905 - Step 4: Simplify right side
853,974x = 1,715,851,109,025 - Step 5: Solve for x
x = 1,715,851,109,025/853,974 - Step 6: Final answer
x = 2,009,254.51
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.