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Finding the Third Proportional to 519,993 and 1,117,593

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Solution

The third proportional to 519,993 and 1,117,593 is: 2,401,982.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,993 : 1,117,593 = 1,117,593 : x
  2. Step 2: Convert to fraction form
    519,993/1,117,593 = 1,117,593/x
  3. Step 3: Cross multiply
    519,993x = 1,117,593 × 1,117,593
  4. Step 4: Simplify right side
    519,993x = 1,249,014,113,649
  5. Step 5: Solve for x
    x = 1,249,014,113,649/519,993
  6. Step 6: Final answer
    x = 2,401,982.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.