Finding the Third Proportional to 648,472 and 1,035,948
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Solution
The third proportional to 648,472 and 1,035,948 is: 1,654,949.26
Step by Step Solution
- Step 1: Write the proportion equation
648,472 : 1,035,948 = 1,035,948 : x - Step 2: Convert to fraction form
648,472/1,035,948 = 1,035,948/x - Step 3: Cross multiply
648,472x = 1,035,948 × 1,035,948 - Step 4: Simplify right side
648,472x = 1,073,188,258,704 - Step 5: Solve for x
x = 1,073,188,258,704/648,472 - Step 6: Final answer
x = 1,654,949.26
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.