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Finding the Third Proportional to 624,408 and 1,473,500

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Solution

The third proportional to 624,408 and 1,473,500 is: 3,477,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,408 : 1,473,500 = 1,473,500 : x
  2. Step 2: Convert to fraction form
    624,408/1,473,500 = 1,473,500/x
  3. Step 3: Cross multiply
    624,408x = 1,473,500 × 1,473,500
  4. Step 4: Simplify right side
    624,408x = 2,171,202,250,000
  5. Step 5: Solve for x
    x = 2,171,202,250,000/624,408
  6. Step 6: Final answer
    x = 3,477,217.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.