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Finding the Third Proportional to 741,825 and 1,588,626

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Solution

The third proportional to 741,825 and 1,588,626 is: 3,402,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,825 : 1,588,626 = 1,588,626 : x
  2. Step 2: Convert to fraction form
    741,825/1,588,626 = 1,588,626/x
  3. Step 3: Cross multiply
    741,825x = 1,588,626 × 1,588,626
  4. Step 4: Simplify right side
    741,825x = 2,523,732,567,876
  5. Step 5: Solve for x
    x = 2,523,732,567,876/741,825
  6. Step 6: Final answer
    x = 3,402,059.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.