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Finding the Third Proportional to 775,308 and 1,642,676

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Solution

The third proportional to 775,308 and 1,642,676 is: 3,480,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,308 : 1,642,676 = 1,642,676 : x
  2. Step 2: Convert to fraction form
    775,308/1,642,676 = 1,642,676/x
  3. Step 3: Cross multiply
    775,308x = 1,642,676 × 1,642,676
  4. Step 4: Simplify right side
    775,308x = 2,698,384,440,976
  5. Step 5: Solve for x
    x = 2,698,384,440,976/775,308
  6. Step 6: Final answer
    x = 3,480,403.20

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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.