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Finding the Third Proportional to 1,380,175.88 and 2,971,255.50

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Solution

The third proportional to 1,380,175.88 and 2,971,255.50 is: 6,396,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,175.88 : 2,971,255.50 = 2,971,255.50 : x
  2. Step 2: Convert to fraction form
    1,380,175.88/2,971,255.50 = 2,971,255.50/x
  3. Step 3: Cross multiply
    1,380,175.88x = 2,971,255.50 × 2,971,255.50
  4. Step 4: Simplify right side
    1,380,175.88x = 8,828,359,246,280.25
  5. Step 5: Solve for x
    x = 8,828,359,246,280.25/1,380,175.88
  6. Step 6: Final answer
    x = 6,396,546.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.