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Finding the Third Proportional to 452,749 and 949,562

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Solution

The third proportional to 452,749 and 949,562 is: 1,991,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,749 : 949,562 = 949,562 : x
  2. Step 2: Convert to fraction form
    452,749/949,562 = 949,562/x
  3. Step 3: Cross multiply
    452,749x = 949,562 × 949,562
  4. Step 4: Simplify right side
    452,749x = 901,667,991,844
  5. Step 5: Solve for x
    x = 901,667,991,844/452,749
  6. Step 6: Final answer
    x = 1,991,540.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.