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Finding the Third Proportional to 1,737,010 and 3,827,401

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Solution

The third proportional to 1,737,010 and 3,827,401 is: 8,433,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,010 : 3,827,401 = 3,827,401 : x
  2. Step 2: Convert to fraction form
    1,737,010/3,827,401 = 3,827,401/x
  3. Step 3: Cross multiply
    1,737,010x = 3,827,401 × 3,827,401
  4. Step 4: Simplify right side
    1,737,010x = 14,648,998,414,801
  5. Step 5: Solve for x
    x = 14,648,998,414,801/1,737,010
  6. Step 6: Final answer
    x = 8,433,456.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.