Finding the Third Proportional to 970,713 and 1,469,643
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Solution
The third proportional to 970,713 and 1,469,643 is: 2,225,014.55
Step by Step Solution
- Step 1: Write the proportion equation
970,713 : 1,469,643 = 1,469,643 : x - Step 2: Convert to fraction form
970,713/1,469,643 = 1,469,643/x - Step 3: Cross multiply
970,713x = 1,469,643 × 1,469,643 - Step 4: Simplify right side
970,713x = 2,159,850,547,449 - Step 5: Solve for x
x = 2,159,850,547,449/970,713 - Step 6: Final answer
x = 2,225,014.55
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.