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Finding the Third Proportional to 496,656 and 1,105,728

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Solution

The third proportional to 496,656 and 1,105,728 is: 2,461,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,656 : 1,105,728 = 1,105,728 : x
  2. Step 2: Convert to fraction form
    496,656/1,105,728 = 1,105,728/x
  3. Step 3: Cross multiply
    496,656x = 1,105,728 × 1,105,728
  4. Step 4: Simplify right side
    496,656x = 1,222,634,409,984
  5. Step 5: Solve for x
    x = 1,222,634,409,984/496,656
  6. Step 6: Final answer
    x = 2,461,732.89

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Why These Related Problems?

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