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Finding the Third Proportional to 590,256 and 1,285,623

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Solution

The third proportional to 590,256 and 1,285,623 is: 2,800,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,256 : 1,285,623 = 1,285,623 : x
  2. Step 2: Convert to fraction form
    590,256/1,285,623 = 1,285,623/x
  3. Step 3: Cross multiply
    590,256x = 1,285,623 × 1,285,623
  4. Step 4: Simplify right side
    590,256x = 1,652,826,498,129
  5. Step 5: Solve for x
    x = 1,652,826,498,129/590,256
  6. Step 6: Final answer
    x = 2,800,185.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.