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Finding the Third Proportional to 2,361,842.34 and 3,542,147.53

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Solution

The third proportional to 2,361,842.34 and 3,542,147.53 is: 5,312,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,842.34 : 3,542,147.53 = 3,542,147.53 : x
  2. Step 2: Convert to fraction form
    2,361,842.34/3,542,147.53 = 3,542,147.53/x
  3. Step 3: Cross multiply
    2,361,842.34x = 3,542,147.53 × 3,542,147.53
  4. Step 4: Simplify right side
    2,361,842.34x = 12,546,809,133,140.47
  5. Step 5: Solve for x
    x = 12,546,809,133,140.47/2,361,842.34
  6. Step 6: Final answer
    x = 5,312,297.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.