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Finding the Third Proportional to 597,680 and 1,283,932

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Solution

The third proportional to 597,680 and 1,283,932 is: 2,758,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,680 : 1,283,932 = 1,283,932 : x
  2. Step 2: Convert to fraction form
    597,680/1,283,932 = 1,283,932/x
  3. Step 3: Cross multiply
    597,680x = 1,283,932 × 1,283,932
  4. Step 4: Simplify right side
    597,680x = 1,648,481,380,624
  5. Step 5: Solve for x
    x = 1,648,481,380,624/597,680
  6. Step 6: Final answer
    x = 2,758,133.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.