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Finding the Third Proportional to 519,996 and 1,117,599

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Solution

The third proportional to 519,996 and 1,117,599 is: 2,401,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,996 : 1,117,599 = 1,117,599 : x
  2. Step 2: Convert to fraction form
    519,996/1,117,599 = 1,117,599/x
  3. Step 3: Cross multiply
    519,996x = 1,117,599 × 1,117,599
  4. Step 4: Simplify right side
    519,996x = 1,249,027,524,801
  5. Step 5: Solve for x
    x = 1,249,027,524,801/519,996
  6. Step 6: Final answer
    x = 2,401,994.49

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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.