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Finding the Third Proportional to 775,499 and 1,704,080

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Solution

The third proportional to 775,499 and 1,704,080 is: 3,744,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,499 : 1,704,080 = 1,704,080 : x
  2. Step 2: Convert to fraction form
    775,499/1,704,080 = 1,704,080/x
  3. Step 3: Cross multiply
    775,499x = 1,704,080 × 1,704,080
  4. Step 4: Simplify right side
    775,499x = 2,903,888,646,400
  5. Step 5: Solve for x
    x = 2,903,888,646,400/775,499
  6. Step 6: Final answer
    x = 3,744,542.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.