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Finding the Third Proportional to 775,760 and 1,645,424

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Solution

The third proportional to 775,760 and 1,645,424 is: 3,490,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,760 : 1,645,424 = 1,645,424 : x
  2. Step 2: Convert to fraction form
    775,760/1,645,424 = 1,645,424/x
  3. Step 3: Cross multiply
    775,760x = 1,645,424 × 1,645,424
  4. Step 4: Simplify right side
    775,760x = 2,707,420,139,776
  5. Step 5: Solve for x
    x = 2,707,420,139,776/775,760
  6. Step 6: Final answer
    x = 3,490,022.87

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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.