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Finding the Third Proportional to 510,960 and 1,054,720

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Solution

The third proportional to 510,960 and 1,054,720 is: 2,177,145.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,960 : 1,054,720 = 1,054,720 : x
  2. Step 2: Convert to fraction form
    510,960/1,054,720 = 1,054,720/x
  3. Step 3: Cross multiply
    510,960x = 1,054,720 × 1,054,720
  4. Step 4: Simplify right side
    510,960x = 1,112,434,278,400
  5. Step 5: Solve for x
    x = 1,112,434,278,400/510,960
  6. Step 6: Final answer
    x = 2,177,145.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.