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Finding the Third Proportional to 534,585 and 1,113,400

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Solution

The third proportional to 534,585 and 1,113,400 is: 2,318,919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,585 : 1,113,400 = 1,113,400 : x
  2. Step 2: Convert to fraction form
    534,585/1,113,400 = 1,113,400/x
  3. Step 3: Cross multiply
    534,585x = 1,113,400 × 1,113,400
  4. Step 4: Simplify right side
    534,585x = 1,239,659,560,000
  5. Step 5: Solve for x
    x = 1,239,659,560,000/534,585
  6. Step 6: Final answer
    x = 2,318,919.46

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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.