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Finding the Third Proportional to 597,604 and 1,285,832

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Solution

The third proportional to 597,604 and 1,285,832 is: 2,766,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,604 : 1,285,832 = 1,285,832 : x
  2. Step 2: Convert to fraction form
    597,604/1,285,832 = 1,285,832/x
  3. Step 3: Cross multiply
    597,604x = 1,285,832 × 1,285,832
  4. Step 4: Simplify right side
    597,604x = 1,653,363,932,224
  5. Step 5: Solve for x
    x = 1,653,363,932,224/597,604
  6. Step 6: Final answer
    x = 2,766,654.73

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Why These Related Problems?

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