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Finding the Third Proportional to 588,003 and 1,288,098

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Solution

The third proportional to 588,003 and 1,288,098 is: 2,821,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,003 : 1,288,098 = 1,288,098 : x
  2. Step 2: Convert to fraction form
    588,003/1,288,098 = 1,288,098/x
  3. Step 3: Cross multiply
    588,003x = 1,288,098 × 1,288,098
  4. Step 4: Simplify right side
    588,003x = 1,659,196,457,604
  5. Step 5: Solve for x
    x = 1,659,196,457,604/588,003
  6. Step 6: Final answer
    x = 2,821,748.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.