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Finding the Third Proportional to 496,710 and 1,105,845

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Solution

The third proportional to 496,710 and 1,105,845 is: 2,461,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,710 : 1,105,845 = 1,105,845 : x
  2. Step 2: Convert to fraction form
    496,710/1,105,845 = 1,105,845/x
  3. Step 3: Cross multiply
    496,710x = 1,105,845 × 1,105,845
  4. Step 4: Simplify right side
    496,710x = 1,222,893,164,025
  5. Step 5: Solve for x
    x = 1,222,893,164,025/496,710
  6. Step 6: Final answer
    x = 2,461,986.20

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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.