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Finding the Third Proportional to 1,737,876 and 3,634,652

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Solution

The third proportional to 1,737,876 and 3,634,652 is: 7,601,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,876 : 3,634,652 = 3,634,652 : x
  2. Step 2: Convert to fraction form
    1,737,876/3,634,652 = 3,634,652/x
  3. Step 3: Cross multiply
    1,737,876x = 3,634,652 × 3,634,652
  4. Step 4: Simplify right side
    1,737,876x = 13,210,695,161,104
  5. Step 5: Solve for x
    x = 13,210,695,161,104/1,737,876
  6. Step 6: Final answer
    x = 7,601,632.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.