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Finding the Third Proportional to 705,165 and 1,522,530

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Solution

The third proportional to 705,165 and 1,522,530 is: 3,287,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,165 : 1,522,530 = 1,522,530 : x
  2. Step 2: Convert to fraction form
    705,165/1,522,530 = 1,522,530/x
  3. Step 3: Cross multiply
    705,165x = 1,522,530 × 1,522,530
  4. Step 4: Simplify right side
    705,165x = 2,318,097,600,900
  5. Step 5: Solve for x
    x = 2,318,097,600,900/705,165
  6. Step 6: Final answer
    x = 3,287,312.33

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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.