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Finding the Third Proportional to 704,168 and 1,520,568

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Solution

The third proportional to 704,168 and 1,520,568 is: 3,283,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,168 : 1,520,568 = 1,520,568 : x
  2. Step 2: Convert to fraction form
    704,168/1,520,568 = 1,520,568/x
  3. Step 3: Cross multiply
    704,168x = 1,520,568 × 1,520,568
  4. Step 4: Simplify right side
    704,168x = 2,312,127,042,624
  5. Step 5: Solve for x
    x = 2,312,127,042,624/704,168
  6. Step 6: Final answer
    x = 3,283,487.81

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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.