Finding the Third Proportional to 471,854 and 1,026,648
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Solution
The third proportional to 471,854 and 1,026,648 is: 2,233,754.75
Step by Step Solution
- Step 1: Write the proportion equation
471,854 : 1,026,648 = 1,026,648 : x - Step 2: Convert to fraction form
471,854/1,026,648 = 1,026,648/x - Step 3: Cross multiply
471,854x = 1,026,648 × 1,026,648 - Step 4: Simplify right side
471,854x = 1,054,006,115,904 - Step 5: Solve for x
x = 1,054,006,115,904/471,854 - Step 6: Final answer
x = 2,233,754.75
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.