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Finding the Third Proportional to 814,409 and 1,753,682

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Solution

The third proportional to 814,409 and 1,753,682 is: 3,776,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,409 : 1,753,682 = 1,753,682 : x
  2. Step 2: Convert to fraction form
    814,409/1,753,682 = 1,753,682/x
  3. Step 3: Cross multiply
    814,409x = 1,753,682 × 1,753,682
  4. Step 4: Simplify right side
    814,409x = 3,075,400,557,124
  5. Step 5: Solve for x
    x = 3,075,400,557,124/814,409
  6. Step 6: Final answer
    x = 3,776,235.97

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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.