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Finding the Third Proportional to 484,420 and 1,042,874

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Solution

The third proportional to 484,420 and 1,042,874 is: 2,245,130.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,420 : 1,042,874 = 1,042,874 : x
  2. Step 2: Convert to fraction form
    484,420/1,042,874 = 1,042,874/x
  3. Step 3: Cross multiply
    484,420x = 1,042,874 × 1,042,874
  4. Step 4: Simplify right side
    484,420x = 1,087,586,179,876
  5. Step 5: Solve for x
    x = 1,087,586,179,876/484,420
  6. Step 6: Final answer
    x = 2,245,130.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.