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Finding the Third Proportional to 534,478 and 1,113,182

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Solution

The third proportional to 534,478 and 1,113,182 is: 2,318,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,478 : 1,113,182 = 1,113,182 : x
  2. Step 2: Convert to fraction form
    534,478/1,113,182 = 1,113,182/x
  3. Step 3: Cross multiply
    534,478x = 1,113,182 × 1,113,182
  4. Step 4: Simplify right side
    534,478x = 1,239,174,165,124
  5. Step 5: Solve for x
    x = 1,239,174,165,124/534,478
  6. Step 6: Final answer
    x = 2,318,475.53

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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.