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Finding the Third Proportional to 499,941 and 1,091,331

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Solution

The third proportional to 499,941 and 1,091,331 is: 2,382,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,941 : 1,091,331 = 1,091,331 : x
  2. Step 2: Convert to fraction form
    499,941/1,091,331 = 1,091,331/x
  3. Step 3: Cross multiply
    499,941x = 1,091,331 × 1,091,331
  4. Step 4: Simplify right side
    499,941x = 1,191,003,351,561
  5. Step 5: Solve for x
    x = 1,191,003,351,561/499,941
  6. Step 6: Final answer
    x = 2,382,287.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.