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Finding the Third Proportional to 533,736 and 1,172,448

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Solution

The third proportional to 533,736 and 1,172,448 is: 2,575,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,736 : 1,172,448 = 1,172,448 : x
  2. Step 2: Convert to fraction form
    533,736/1,172,448 = 1,172,448/x
  3. Step 3: Cross multiply
    533,736x = 1,172,448 × 1,172,448
  4. Step 4: Simplify right side
    533,736x = 1,374,634,312,704
  5. Step 5: Solve for x
    x = 1,374,634,312,704/533,736
  6. Step 6: Final answer
    x = 2,575,494.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.