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Finding the Third Proportional to 833,401 and 1,261,720

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Solution

The third proportional to 833,401 and 1,261,720 is: 1,910,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,401 : 1,261,720 = 1,261,720 : x
  2. Step 2: Convert to fraction form
    833,401/1,261,720 = 1,261,720/x
  3. Step 3: Cross multiply
    833,401x = 1,261,720 × 1,261,720
  4. Step 4: Simplify right side
    833,401x = 1,591,937,358,400
  5. Step 5: Solve for x
    x = 1,591,937,358,400/833,401
  6. Step 6: Final answer
    x = 1,910,169.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.