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Finding the Third Proportional to 597,384 and 1,289,856

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Solution

The third proportional to 597,384 and 1,289,856 is: 2,785,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,384 : 1,289,856 = 1,289,856 : x
  2. Step 2: Convert to fraction form
    597,384/1,289,856 = 1,289,856/x
  3. Step 3: Cross multiply
    597,384x = 1,289,856 × 1,289,856
  4. Step 4: Simplify right side
    597,384x = 1,663,728,500,736
  5. Step 5: Solve for x
    x = 1,663,728,500,736/597,384
  6. Step 6: Final answer
    x = 2,785,023.54

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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.