Finding the Third Proportional to 647,838 and 1,016,172
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Solution
The third proportional to 647,838 and 1,016,172 is: 1,593,925.54
Step by Step Solution
- Step 1: Write the proportion equation
647,838 : 1,016,172 = 1,016,172 : x - Step 2: Convert to fraction form
647,838/1,016,172 = 1,016,172/x - Step 3: Cross multiply
647,838x = 1,016,172 × 1,016,172 - Step 4: Simplify right side
647,838x = 1,032,605,533,584 - Step 5: Solve for x
x = 1,032,605,533,584/647,838 - Step 6: Final answer
x = 1,593,925.54
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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.