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Finding the Third Proportional to 552,420 and 1,160,568

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Solution

The third proportional to 552,420 and 1,160,568 is: 2,438,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,420 : 1,160,568 = 1,160,568 : x
  2. Step 2: Convert to fraction form
    552,420/1,160,568 = 1,160,568/x
  3. Step 3: Cross multiply
    552,420x = 1,160,568 × 1,160,568
  4. Step 4: Simplify right side
    552,420x = 1,346,918,082,624
  5. Step 5: Solve for x
    x = 1,346,918,082,624/552,420
  6. Step 6: Final answer
    x = 2,438,213.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.