Finding the Third Proportional to 545,796 and 842,022
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Solution
The third proportional to 545,796 and 842,022 is: 1,299,022.07
Step by Step Solution
- Step 1: Write the proportion equation
545,796 : 842,022 = 842,022 : x - Step 2: Convert to fraction form
545,796/842,022 = 842,022/x - Step 3: Cross multiply
545,796x = 842,022 × 842,022 - Step 4: Simplify right side
545,796x = 709,001,048,484 - Step 5: Solve for x
x = 709,001,048,484/545,796 - Step 6: Final answer
x = 1,299,022.07
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.