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Finding the Third Proportional to 814,983 and 1,290,204

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Solution

The third proportional to 814,983 and 1,290,204 is: 2,042,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,983 : 1,290,204 = 1,290,204 : x
  2. Step 2: Convert to fraction form
    814,983/1,290,204 = 1,290,204/x
  3. Step 3: Cross multiply
    814,983x = 1,290,204 × 1,290,204
  4. Step 4: Simplify right side
    814,983x = 1,664,626,361,616
  5. Step 5: Solve for x
    x = 1,664,626,361,616/814,983
  6. Step 6: Final answer
    x = 2,042,528.94

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.