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Finding the Third Proportional to 597,736 and 1,289,930

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Solution

The third proportional to 597,736 and 1,289,930 is: 2,783,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,736 : 1,289,930 = 1,289,930 : x
  2. Step 2: Convert to fraction form
    597,736/1,289,930 = 1,289,930/x
  3. Step 3: Cross multiply
    597,736x = 1,289,930 × 1,289,930
  4. Step 4: Simplify right side
    597,736x = 1,663,919,404,900
  5. Step 5: Solve for x
    x = 1,663,919,404,900/597,736
  6. Step 6: Final answer
    x = 2,783,702.85

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Why These Related Problems?

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