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Finding the Third Proportional to 1,542,403.69 and 3,342,223.69

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Solution

The third proportional to 1,542,403.69 and 3,342,223.69 is: 7,242,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,403.69 : 3,342,223.69 = 3,342,223.69 : x
  2. Step 2: Convert to fraction form
    1,542,403.69/3,342,223.69 = 3,342,223.69/x
  3. Step 3: Cross multiply
    1,542,403.69x = 3,342,223.69 × 3,342,223.69
  4. Step 4: Simplify right side
    1,542,403.69x = 11,170,459,177,286.10
  5. Step 5: Solve for x
    x = 11,170,459,177,286.10/1,542,403.69
  6. Step 6: Final answer
    x = 7,242,240.97

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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.