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Finding the Third Proportional to 590,682 and 1,288,269

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Solution

The third proportional to 590,682 and 1,288,269 is: 2,809,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,682 : 1,288,269 = 1,288,269 : x
  2. Step 2: Convert to fraction form
    590,682/1,288,269 = 1,288,269/x
  3. Step 3: Cross multiply
    590,682x = 1,288,269 × 1,288,269
  4. Step 4: Simplify right side
    590,682x = 1,659,637,016,361
  5. Step 5: Solve for x
    x = 1,659,637,016,361/590,682
  6. Step 6: Final answer
    x = 2,809,696.28

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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.