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Finding the Third Proportional to 619,947.50 and 1,314,293

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Solution

The third proportional to 619,947.50 and 1,314,293 is: 2,786,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,947.50 : 1,314,293 = 1,314,293 : x
  2. Step 2: Convert to fraction form
    619,947.50/1,314,293 = 1,314,293/x
  3. Step 3: Cross multiply
    619,947.50x = 1,314,293 × 1,314,293
  4. Step 4: Simplify right side
    619,947.50x = 1,727,366,089,849
  5. Step 5: Solve for x
    x = 1,727,366,089,849/619,947.50
  6. Step 6: Final answer
    x = 2,786,310.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.