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Finding the Third Proportional to 559,024 and 1,206,568

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Solution

The third proportional to 559,024 and 1,206,568 is: 2,604,192.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,024 : 1,206,568 = 1,206,568 : x
  2. Step 2: Convert to fraction form
    559,024/1,206,568 = 1,206,568/x
  3. Step 3: Cross multiply
    559,024x = 1,206,568 × 1,206,568
  4. Step 4: Simplify right side
    559,024x = 1,455,806,338,624
  5. Step 5: Solve for x
    x = 1,455,806,338,624/559,024
  6. Step 6: Final answer
    x = 2,604,192.91

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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.