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Finding the Third Proportional to 1,542,912 and 3,160,992

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Solution

The third proportional to 1,542,912 and 3,160,992 is: 6,475,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,912 : 3,160,992 = 3,160,992 : x
  2. Step 2: Convert to fraction form
    1,542,912/3,160,992 = 3,160,992/x
  3. Step 3: Cross multiply
    1,542,912x = 3,160,992 × 3,160,992
  4. Step 4: Simplify right side
    1,542,912x = 9,991,870,424,064
  5. Step 5: Solve for x
    x = 9,991,870,424,064/1,542,912
  6. Step 6: Final answer
    x = 6,475,982.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.