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Finding the Third Proportional to 496,954 and 1,091,534

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Solution

The third proportional to 496,954 and 1,091,534 is: 2,397,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,954 : 1,091,534 = 1,091,534 : x
  2. Step 2: Convert to fraction form
    496,954/1,091,534 = 1,091,534/x
  3. Step 3: Cross multiply
    496,954x = 1,091,534 × 1,091,534
  4. Step 4: Simplify right side
    496,954x = 1,191,446,473,156
  5. Step 5: Solve for x
    x = 1,191,446,473,156/496,954
  6. Step 6: Final answer
    x = 2,397,498.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.