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Finding the Third Proportional to 519,289 and 1,079,856

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Solution

The third proportional to 519,289 and 1,079,856 is: 2,245,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,289 : 1,079,856 = 1,079,856 : x
  2. Step 2: Convert to fraction form
    519,289/1,079,856 = 1,079,856/x
  3. Step 3: Cross multiply
    519,289x = 1,079,856 × 1,079,856
  4. Step 4: Simplify right side
    519,289x = 1,166,088,980,736
  5. Step 5: Solve for x
    x = 1,166,088,980,736/519,289
  6. Step 6: Final answer
    x = 2,245,549.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.