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Finding the Third Proportional to 1,737,912 and 3,634,722

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Solution

The third proportional to 1,737,912 and 3,634,722 is: 7,601,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,912 : 3,634,722 = 3,634,722 : x
  2. Step 2: Convert to fraction form
    1,737,912/3,634,722 = 3,634,722/x
  3. Step 3: Cross multiply
    1,737,912x = 3,634,722 × 3,634,722
  4. Step 4: Simplify right side
    1,737,912x = 13,211,204,017,284
  5. Step 5: Solve for x
    x = 13,211,204,017,284/1,737,912
  6. Step 6: Final answer
    x = 7,601,768.11

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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.