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Finding the Third Proportional to 1,542,394.50 and 3,342,207

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Solution

The third proportional to 1,542,394.50 and 3,342,207 is: 7,242,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,394.50 : 3,342,207 = 3,342,207 : x
  2. Step 2: Convert to fraction form
    1,542,394.50/3,342,207 = 3,342,207/x
  3. Step 3: Cross multiply
    1,542,394.50x = 3,342,207 × 3,342,207
  4. Step 4: Simplify right side
    1,542,394.50x = 11,170,347,630,849
  5. Step 5: Solve for x
    x = 11,170,347,630,849/1,542,394.50
  6. Step 6: Final answer
    x = 7,242,211.79

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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.