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Finding the Third Proportional to 439,317 and 913,626

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Solution

The third proportional to 439,317 and 913,626 is: 1,900,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,317 : 913,626 = 913,626 : x
  2. Step 2: Convert to fraction form
    439,317/913,626 = 913,626/x
  3. Step 3: Cross multiply
    439,317x = 913,626 × 913,626
  4. Step 4: Simplify right side
    439,317x = 834,712,467,876
  5. Step 5: Solve for x
    x = 834,712,467,876/439,317
  6. Step 6: Final answer
    x = 1,900,023.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.