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Finding the Third Proportional to 775,646 and 1,675,810

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Solution

The third proportional to 775,646 and 1,675,810 is: 3,620,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,646 : 1,675,810 = 1,675,810 : x
  2. Step 2: Convert to fraction form
    775,646/1,675,810 = 1,675,810/x
  3. Step 3: Cross multiply
    775,646x = 1,675,810 × 1,675,810
  4. Step 4: Simplify right side
    775,646x = 2,808,339,156,100
  5. Step 5: Solve for x
    x = 2,808,339,156,100/775,646
  6. Step 6: Final answer
    x = 3,620,645.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.