Finding the Third Proportional to 1,023,120 and 1,601,472
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Solution
The third proportional to 1,023,120 and 1,601,472 is: 2,506,756.36
Step by Step Solution
- Step 1: Write the proportion equation
1,023,120 : 1,601,472 = 1,601,472 : x - Step 2: Convert to fraction form
1,023,120/1,601,472 = 1,601,472/x - Step 3: Cross multiply
1,023,120x = 1,601,472 × 1,601,472 - Step 4: Simplify right side
1,023,120x = 2,564,712,566,784 - Step 5: Solve for x
x = 2,564,712,566,784/1,023,120 - Step 6: Final answer
x = 2,506,756.36
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.