Finding the Third Proportional to 456,796 and 983,582
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Solution
The third proportional to 456,796 and 983,582 is: 2,117,867.82
Step by Step Solution
- Step 1: Write the proportion equation
456,796 : 983,582 = 983,582 : x - Step 2: Convert to fraction form
456,796/983,582 = 983,582/x - Step 3: Cross multiply
456,796x = 983,582 × 983,582 - Step 4: Simplify right side
456,796x = 967,433,550,724 - Step 5: Solve for x
x = 967,433,550,724/456,796 - Step 6: Final answer
x = 2,117,867.82
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.