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Finding the Third Proportional to 1,424,360.25 and 3,294,567

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Solution

The third proportional to 1,424,360.25 and 3,294,567 is: 7,620,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,360.25 : 3,294,567 = 3,294,567 : x
  2. Step 2: Convert to fraction form
    1,424,360.25/3,294,567 = 3,294,567/x
  3. Step 3: Cross multiply
    1,424,360.25x = 3,294,567 × 3,294,567
  4. Step 4: Simplify right side
    1,424,360.25x = 10,854,171,717,489
  5. Step 5: Solve for x
    x = 10,854,171,717,489/1,424,360.25
  6. Step 6: Final answer
    x = 7,620,383.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.