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Finding the Third Proportional to 775,536 and 1,640,492

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Solution

The third proportional to 775,536 and 1,640,492 is: 3,470,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,536 : 1,640,492 = 1,640,492 : x
  2. Step 2: Convert to fraction form
    775,536/1,640,492 = 1,640,492/x
  3. Step 3: Cross multiply
    775,536x = 1,640,492 × 1,640,492
  4. Step 4: Simplify right side
    775,536x = 2,691,214,002,064
  5. Step 5: Solve for x
    x = 2,691,214,002,064/775,536
  6. Step 6: Final answer
    x = 3,470,134.21

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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.