Finding the Third Proportional to 840,820 and 1,208,742
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Solution
The third proportional to 840,820 and 1,208,742 is: 1,737,657.55
Step by Step Solution
- Step 1: Write the proportion equation
840,820 : 1,208,742 = 1,208,742 : x - Step 2: Convert to fraction form
840,820/1,208,742 = 1,208,742/x - Step 3: Cross multiply
840,820x = 1,208,742 × 1,208,742 - Step 4: Simplify right side
840,820x = 1,461,057,222,564 - Step 5: Solve for x
x = 1,461,057,222,564/840,820 - Step 6: Final answer
x = 1,737,657.55
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.