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Finding the Third Proportional to 597,816 and 1,268,532

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Solution

The third proportional to 597,816 and 1,268,532 is: 2,691,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,816 : 1,268,532 = 1,268,532 : x
  2. Step 2: Convert to fraction form
    597,816/1,268,532 = 1,268,532/x
  3. Step 3: Cross multiply
    597,816x = 1,268,532 × 1,268,532
  4. Step 4: Simplify right side
    597,816x = 1,609,173,435,024
  5. Step 5: Solve for x
    x = 1,609,173,435,024/597,816
  6. Step 6: Final answer
    x = 2,691,753.71

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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.