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Finding the Third Proportional to 493,506 and 1,061,874

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Solution

The third proportional to 493,506 and 1,061,874 is: 2,284,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,506 : 1,061,874 = 1,061,874 : x
  2. Step 2: Convert to fraction form
    493,506/1,061,874 = 1,061,874/x
  3. Step 3: Cross multiply
    493,506x = 1,061,874 × 1,061,874
  4. Step 4: Simplify right side
    493,506x = 1,127,576,391,876
  5. Step 5: Solve for x
    x = 1,127,576,391,876/493,506
  6. Step 6: Final answer
    x = 2,284,828.13

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.