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Finding the Third Proportional to 775,532 and 1,640,484

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Solution

The third proportional to 775,532 and 1,640,484 is: 3,470,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,532 : 1,640,484 = 1,640,484 : x
  2. Step 2: Convert to fraction form
    775,532/1,640,484 = 1,640,484/x
  3. Step 3: Cross multiply
    775,532x = 1,640,484 × 1,640,484
  4. Step 4: Simplify right side
    775,532x = 2,691,187,754,256
  5. Step 5: Solve for x
    x = 2,691,187,754,256/775,532
  6. Step 6: Final answer
    x = 3,470,118.26

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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.