Finding the Third Proportional to 614,032 and 947,298
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Solution
The third proportional to 614,032 and 947,298 is: 1,461,444.19
Step by Step Solution
- Step 1: Write the proportion equation
614,032 : 947,298 = 947,298 : x - Step 2: Convert to fraction form
614,032/947,298 = 947,298/x - Step 3: Cross multiply
614,032x = 947,298 × 947,298 - Step 4: Simplify right side
614,032x = 897,373,500,804 - Step 5: Solve for x
x = 897,373,500,804/614,032 - Step 6: Final answer
x = 1,461,444.19
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.