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Finding the Third Proportional to 568,640 and 1,207,256

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Solution

The third proportional to 568,640 and 1,207,256 is: 2,563,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,640 : 1,207,256 = 1,207,256 : x
  2. Step 2: Convert to fraction form
    568,640/1,207,256 = 1,207,256/x
  3. Step 3: Cross multiply
    568,640x = 1,207,256 × 1,207,256
  4. Step 4: Simplify right side
    568,640x = 1,457,467,049,536
  5. Step 5: Solve for x
    x = 1,457,467,049,536/568,640
  6. Step 6: Final answer
    x = 2,563,075.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.