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Finding the Third Proportional to 516,110 and 1,052,956

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Solution

The third proportional to 516,110 and 1,052,956 is: 2,148,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,110 : 1,052,956 = 1,052,956 : x
  2. Step 2: Convert to fraction form
    516,110/1,052,956 = 1,052,956/x
  3. Step 3: Cross multiply
    516,110x = 1,052,956 × 1,052,956
  4. Step 4: Simplify right side
    516,110x = 1,108,716,337,936
  5. Step 5: Solve for x
    x = 1,108,716,337,936/516,110
  6. Step 6: Final answer
    x = 2,148,217.12

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.