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Finding the Third Proportional to 516,960 and 1,116,960

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Solution

The third proportional to 516,960 and 1,116,960 is: 2,413,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,960 : 1,116,960 = 1,116,960 : x
  2. Step 2: Convert to fraction form
    516,960/1,116,960 = 1,116,960/x
  3. Step 3: Cross multiply
    516,960x = 1,116,960 × 1,116,960
  4. Step 4: Simplify right side
    516,960x = 1,247,599,641,600
  5. Step 5: Solve for x
    x = 1,247,599,641,600/516,960
  6. Step 6: Final answer
    x = 2,413,338.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.