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Finding the Third Proportional to 2,433,697.50 and 3,783,293

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Solution

The third proportional to 2,433,697.50 and 3,783,293 is: 5,881,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,697.50 : 3,783,293 = 3,783,293 : x
  2. Step 2: Convert to fraction form
    2,433,697.50/3,783,293 = 3,783,293/x
  3. Step 3: Cross multiply
    2,433,697.50x = 3,783,293 × 3,783,293
  4. Step 4: Simplify right side
    2,433,697.50x = 14,313,305,923,849
  5. Step 5: Solve for x
    x = 14,313,305,923,849/2,433,697.50
  6. Step 6: Final answer
    x = 5,881,300.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.