Finding the Third Proportional to 527,072 and 1,027,648
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Solution
The third proportional to 527,072 and 1,027,648 is: 2,003,635.96
Step by Step Solution
- Step 1: Write the proportion equation
527,072 : 1,027,648 = 1,027,648 : x - Step 2: Convert to fraction form
527,072/1,027,648 = 1,027,648/x - Step 3: Cross multiply
527,072x = 1,027,648 × 1,027,648 - Step 4: Simplify right side
527,072x = 1,056,060,411,904 - Step 5: Solve for x
x = 1,056,060,411,904/527,072 - Step 6: Final answer
x = 2,003,635.96
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.