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Finding the Third Proportional to 3,212,948 and 4,283,453

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Solution

The third proportional to 3,212,948 and 4,283,453 is: 5,710,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,948 : 4,283,453 = 4,283,453 : x
  2. Step 2: Convert to fraction form
    3,212,948/4,283,453 = 4,283,453/x
  3. Step 3: Cross multiply
    3,212,948x = 4,283,453 × 4,283,453
  4. Step 4: Simplify right side
    3,212,948x = 18,347,969,603,209
  5. Step 5: Solve for x
    x = 18,347,969,603,209/3,212,948
  6. Step 6: Final answer
    x = 5,710,633.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.