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Finding the Third Proportional to 814,384 and 1,754,987

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Solution

The third proportional to 814,384 and 1,754,987 is: 3,781,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,384 : 1,754,987 = 1,754,987 : x
  2. Step 2: Convert to fraction form
    814,384/1,754,987 = 1,754,987/x
  3. Step 3: Cross multiply
    814,384x = 1,754,987 × 1,754,987
  4. Step 4: Simplify right side
    814,384x = 3,079,979,370,169
  5. Step 5: Solve for x
    x = 3,079,979,370,169/814,384
  6. Step 6: Final answer
    x = 3,781,974.31

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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.