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Finding the Third Proportional to 597,825 and 1,268,550

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Solution

The third proportional to 597,825 and 1,268,550 is: 2,691,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,825 : 1,268,550 = 1,268,550 : x
  2. Step 2: Convert to fraction form
    597,825/1,268,550 = 1,268,550/x
  3. Step 3: Cross multiply
    597,825x = 1,268,550 × 1,268,550
  4. Step 4: Simplify right side
    597,825x = 1,609,219,102,500
  5. Step 5: Solve for x
    x = 1,609,219,102,500/597,825
  6. Step 6: Final answer
    x = 2,691,789.57

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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.