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Finding the Third Proportional to 1,890,634 and 2,829,349

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Solution

The third proportional to 1,890,634 and 2,829,349 is: 4,234,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890,634 : 2,829,349 = 2,829,349 : x
  2. Step 2: Convert to fraction form
    1,890,634/2,829,349 = 2,829,349/x
  3. Step 3: Cross multiply
    1,890,634x = 2,829,349 × 2,829,349
  4. Step 4: Simplify right side
    1,890,634x = 8,005,215,763,801
  5. Step 5: Solve for x
    x = 8,005,215,763,801/1,890,634
  6. Step 6: Final answer
    x = 4,234,143.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.