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Finding the Third Proportional to 1,542,087 and 3,341,601

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Solution

The third proportional to 1,542,087 and 3,341,601 is: 7,241,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,087 : 3,341,601 = 3,341,601 : x
  2. Step 2: Convert to fraction form
    1,542,087/3,341,601 = 3,341,601/x
  3. Step 3: Cross multiply
    1,542,087x = 3,341,601 × 3,341,601
  4. Step 4: Simplify right side
    1,542,087x = 11,166,297,243,201
  5. Step 5: Solve for x
    x = 11,166,297,243,201/1,542,087
  6. Step 6: Final answer
    x = 7,241,029.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.