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Finding the Third Proportional to 599,080 and 1,297,844

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Solution

The third proportional to 599,080 and 1,297,844 is: 2,811,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,080 : 1,297,844 = 1,297,844 : x
  2. Step 2: Convert to fraction form
    599,080/1,297,844 = 1,297,844/x
  3. Step 3: Cross multiply
    599,080x = 1,297,844 × 1,297,844
  4. Step 4: Simplify right side
    599,080x = 1,684,399,048,336
  5. Step 5: Solve for x
    x = 1,684,399,048,336/599,080
  6. Step 6: Final answer
    x = 2,811,642.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.