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Finding the Third Proportional to 775,545 and 1,640,511

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Solution

The third proportional to 775,545 and 1,640,511 is: 3,470,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,545 : 1,640,511 = 1,640,511 : x
  2. Step 2: Convert to fraction form
    775,545/1,640,511 = 1,640,511/x
  3. Step 3: Cross multiply
    775,545x = 1,640,511 × 1,640,511
  4. Step 4: Simplify right side
    775,545x = 2,691,276,341,121
  5. Step 5: Solve for x
    x = 2,691,276,341,121/775,545
  6. Step 6: Final answer
    x = 3,470,174.32

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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.