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Finding the Third Proportional to 592,736 and 1,297,900

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Solution

The third proportional to 592,736 and 1,297,900 is: 2,841,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,736 : 1,297,900 = 1,297,900 : x
  2. Step 2: Convert to fraction form
    592,736/1,297,900 = 1,297,900/x
  3. Step 3: Cross multiply
    592,736x = 1,297,900 × 1,297,900
  4. Step 4: Simplify right side
    592,736x = 1,684,544,410,000
  5. Step 5: Solve for x
    x = 1,684,544,410,000/592,736
  6. Step 6: Final answer
    x = 2,841,980.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.