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Finding the Third Proportional to 534,472 and 1,113,170

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Solution

The third proportional to 534,472 and 1,113,170 is: 2,318,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,472 : 1,113,170 = 1,113,170 : x
  2. Step 2: Convert to fraction form
    534,472/1,113,170 = 1,113,170/x
  3. Step 3: Cross multiply
    534,472x = 1,113,170 × 1,113,170
  4. Step 4: Simplify right side
    534,472x = 1,239,147,448,900
  5. Step 5: Solve for x
    x = 1,239,147,448,900/534,472
  6. Step 6: Final answer
    x = 2,318,451.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.