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Finding the Third Proportional to 733,632 and 1,546,896

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Solution

The third proportional to 733,632 and 1,546,896 is: 3,261,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,632 : 1,546,896 = 1,546,896 : x
  2. Step 2: Convert to fraction form
    733,632/1,546,896 = 1,546,896/x
  3. Step 3: Cross multiply
    733,632x = 1,546,896 × 1,546,896
  4. Step 4: Simplify right side
    733,632x = 2,392,887,234,816
  5. Step 5: Solve for x
    x = 2,392,887,234,816/733,632
  6. Step 6: Final answer
    x = 3,261,699.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.