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Finding the Third Proportional to 496,762 and 1,105,942

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Solution

The third proportional to 496,762 and 1,105,942 is: 2,462,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,762 : 1,105,942 = 1,105,942 : x
  2. Step 2: Convert to fraction form
    496,762/1,105,942 = 1,105,942/x
  3. Step 3: Cross multiply
    496,762x = 1,105,942 × 1,105,942
  4. Step 4: Simplify right side
    496,762x = 1,223,107,707,364
  5. Step 5: Solve for x
    x = 1,223,107,707,364/496,762
  6. Step 6: Final answer
    x = 2,462,160.37

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.