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Finding the Third Proportional to 1,523,744 and 3,318,400

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Solution

The third proportional to 1,523,744 and 3,318,400 is: 7,226,790.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,744 : 3,318,400 = 3,318,400 : x
  2. Step 2: Convert to fraction form
    1,523,744/3,318,400 = 3,318,400/x
  3. Step 3: Cross multiply
    1,523,744x = 3,318,400 × 3,318,400
  4. Step 4: Simplify right side
    1,523,744x = 11,011,778,560,000
  5. Step 5: Solve for x
    x = 11,011,778,560,000/1,523,744
  6. Step 6: Final answer
    x = 7,226,790.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.