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Finding the Third Proportional to 597,818 and 1,268,536

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Solution

The third proportional to 597,818 and 1,268,536 is: 2,691,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,818 : 1,268,536 = 1,268,536 : x
  2. Step 2: Convert to fraction form
    597,818/1,268,536 = 1,268,536/x
  3. Step 3: Cross multiply
    597,818x = 1,268,536 × 1,268,536
  4. Step 4: Simplify right side
    597,818x = 1,609,183,583,296
  5. Step 5: Solve for x
    x = 1,609,183,583,296/597,818
  6. Step 6: Final answer
    x = 2,691,761.68

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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.