Finding the Third Proportional to 830,577 and 1,187,712
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Solution
The third proportional to 830,577 and 1,187,712 is: 1,698,409.41
Step by Step Solution
- Step 1: Write the proportion equation
830,577 : 1,187,712 = 1,187,712 : x - Step 2: Convert to fraction form
830,577/1,187,712 = 1,187,712/x - Step 3: Cross multiply
830,577x = 1,187,712 × 1,187,712 - Step 4: Simplify right side
830,577x = 1,410,659,794,944 - Step 5: Solve for x
x = 1,410,659,794,944/830,577 - Step 6: Final answer
x = 1,698,409.41
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.