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Finding the Third Proportional to 705,160.69 and 1,522,536.75

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Solution

The third proportional to 705,160.69 and 1,522,536.75 is: 3,287,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,160.69 : 1,522,536.75 = 1,522,536.75 : x
  2. Step 2: Convert to fraction form
    705,160.69/1,522,536.75 = 1,522,536.75/x
  3. Step 3: Cross multiply
    705,160.69x = 1,522,536.75 × 1,522,536.75
  4. Step 4: Simplify right side
    705,160.69x = 2,318,118,155,100.56
  5. Step 5: Solve for x
    x = 2,318,118,155,100.56/705,160.69
  6. Step 6: Final answer
    x = 3,287,361.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.