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Finding the Third Proportional to 597,972 and 1,268,844

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Solution

The third proportional to 597,972 and 1,268,844 is: 2,692,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,972 : 1,268,844 = 1,268,844 : x
  2. Step 2: Convert to fraction form
    597,972/1,268,844 = 1,268,844/x
  3. Step 3: Cross multiply
    597,972x = 1,268,844 × 1,268,844
  4. Step 4: Simplify right side
    597,972x = 1,609,965,096,336
  5. Step 5: Solve for x
    x = 1,609,965,096,336/597,972
  6. Step 6: Final answer
    x = 2,692,375.39

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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.