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Finding the Third Proportional to 820,133 and 1,104,058

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Solution

The third proportional to 820,133 and 1,104,058 is: 1,486,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,133 : 1,104,058 = 1,104,058 : x
  2. Step 2: Convert to fraction form
    820,133/1,104,058 = 1,104,058/x
  3. Step 3: Cross multiply
    820,133x = 1,104,058 × 1,104,058
  4. Step 4: Simplify right side
    820,133x = 1,218,944,067,364
  5. Step 5: Solve for x
    x = 1,218,944,067,364/820,133
  6. Step 6: Final answer
    x = 1,486,276.09

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.