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Finding the Third Proportional to 498,598 and 1,067,144

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Solution

The third proportional to 498,598 and 1,067,144 is: 2,283,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,598 : 1,067,144 = 1,067,144 : x
  2. Step 2: Convert to fraction form
    498,598/1,067,144 = 1,067,144/x
  3. Step 3: Cross multiply
    498,598x = 1,067,144 × 1,067,144
  4. Step 4: Simplify right side
    498,598x = 1,138,796,316,736
  5. Step 5: Solve for x
    x = 1,138,796,316,736/498,598
  6. Step 6: Final answer
    x = 2,283,996.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.