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Finding the Third Proportional to 1,737,848 and 3,784,636

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Solution

The third proportional to 1,737,848 and 3,784,636 is: 8,242,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,848 : 3,784,636 = 3,784,636 : x
  2. Step 2: Convert to fraction form
    1,737,848/3,784,636 = 3,784,636/x
  3. Step 3: Cross multiply
    1,737,848x = 3,784,636 × 3,784,636
  4. Step 4: Simplify right side
    1,737,848x = 14,323,469,652,496
  5. Step 5: Solve for x
    x = 14,323,469,652,496/1,737,848
  6. Step 6: Final answer
    x = 8,242,072.75

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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.