Finding the Third Proportional to 830,472 and 1,301,059
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Solution
The third proportional to 830,472 and 1,301,059 is: 2,038,304.15
Step by Step Solution
- Step 1: Write the proportion equation
830,472 : 1,301,059 = 1,301,059 : x - Step 2: Convert to fraction form
830,472/1,301,059 = 1,301,059/x - Step 3: Cross multiply
830,472x = 1,301,059 × 1,301,059 - Step 4: Simplify right side
830,472x = 1,692,754,521,481 - Step 5: Solve for x
x = 1,692,754,521,481/830,472 - Step 6: Final answer
x = 2,038,304.15
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.