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Finding the Third Proportional to 683,636 and 1,472,408

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Solution

The third proportional to 683,636 and 1,472,408 is: 3,171,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,636 : 1,472,408 = 1,472,408 : x
  2. Step 2: Convert to fraction form
    683,636/1,472,408 = 1,472,408/x
  3. Step 3: Cross multiply
    683,636x = 1,472,408 × 1,472,408
  4. Step 4: Simplify right side
    683,636x = 2,167,985,318,464
  5. Step 5: Solve for x
    x = 2,167,985,318,464/683,636
  6. Step 6: Final answer
    x = 3,171,256.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.