Finding the Third Proportional to 561,184 and 842,426
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Solution
The third proportional to 561,184 and 842,426 is: 1,264,614.75
Step by Step Solution
- Step 1: Write the proportion equation
561,184 : 842,426 = 842,426 : x - Step 2: Convert to fraction form
561,184/842,426 = 842,426/x - Step 3: Cross multiply
561,184x = 842,426 × 842,426 - Step 4: Simplify right side
561,184x = 709,681,565,476 - Step 5: Solve for x
x = 709,681,565,476/561,184 - Step 6: Final answer
x = 1,264,614.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.