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Finding the Third Proportional to 3,303,414 and 4,353,453

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Solution

The third proportional to 3,303,414 and 4,353,453 is: 5,737,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303,414 : 4,353,453 = 4,353,453 : x
  2. Step 2: Convert to fraction form
    3,303,414/4,353,453 = 4,353,453/x
  3. Step 3: Cross multiply
    3,303,414x = 4,353,453 × 4,353,453
  4. Step 4: Simplify right side
    3,303,414x = 18,952,553,023,209
  5. Step 5: Solve for x
    x = 18,952,553,023,209/3,303,414
  6. Step 6: Final answer
    x = 5,737,262.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.