Finding the Third Proportional to 421,443 and 912,870
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Solution
The third proportional to 421,443 and 912,870 is: 1,977,329.41
Step by Step Solution
- Step 1: Write the proportion equation
421,443 : 912,870 = 912,870 : x - Step 2: Convert to fraction form
421,443/912,870 = 912,870/x - Step 3: Cross multiply
421,443x = 912,870 × 912,870 - Step 4: Simplify right side
421,443x = 833,331,636,900 - Step 5: Solve for x
x = 833,331,636,900/421,443 - Step 6: Final answer
x = 1,977,329.41
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.