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Finding the Third Proportional to 702,675 and 1,562,568

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Solution

The third proportional to 702,675 and 1,562,568 is: 3,474,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,675 : 1,562,568 = 1,562,568 : x
  2. Step 2: Convert to fraction form
    702,675/1,562,568 = 1,562,568/x
  3. Step 3: Cross multiply
    702,675x = 1,562,568 × 1,562,568
  4. Step 4: Simplify right side
    702,675x = 2,441,618,754,624
  5. Step 5: Solve for x
    x = 2,441,618,754,624/702,675
  6. Step 6: Final answer
    x = 3,474,748.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.