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Finding the Third Proportional to 767,933 and 1,675,615

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Solution

The third proportional to 767,933 and 1,675,615 is: 3,656,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,933 : 1,675,615 = 1,675,615 : x
  2. Step 2: Convert to fraction form
    767,933/1,675,615 = 1,675,615/x
  3. Step 3: Cross multiply
    767,933x = 1,675,615 × 1,675,615
  4. Step 4: Simplify right side
    767,933x = 2,807,685,628,225
  5. Step 5: Solve for x
    x = 2,807,685,628,225/767,933
  6. Step 6: Final answer
    x = 3,656,159.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.