Finding the Third Proportional to 523,980 and 1,069,944
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Solution
The third proportional to 523,980 and 1,069,944 is: 2,184,778.36
Step by Step Solution
- Step 1: Write the proportion equation
523,980 : 1,069,944 = 1,069,944 : x - Step 2: Convert to fraction form
523,980/1,069,944 = 1,069,944/x - Step 3: Cross multiply
523,980x = 1,069,944 × 1,069,944 - Step 4: Simplify right side
523,980x = 1,144,780,163,136 - Step 5: Solve for x
x = 1,144,780,163,136/523,980 - Step 6: Final answer
x = 2,184,778.36
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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.