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Finding the Third Proportional to 533,372 and 1,166,372

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Solution

The third proportional to 533,372 and 1,166,372 is: 2,550,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,372 : 1,166,372 = 1,166,372 : x
  2. Step 2: Convert to fraction form
    533,372/1,166,372 = 1,166,372/x
  3. Step 3: Cross multiply
    533,372x = 1,166,372 × 1,166,372
  4. Step 4: Simplify right side
    533,372x = 1,360,423,642,384
  5. Step 5: Solve for x
    x = 1,360,423,642,384/533,372
  6. Step 6: Final answer
    x = 2,550,609.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.