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Finding the Third Proportional to 814,414 and 1,753,694

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Solution

The third proportional to 814,414 and 1,753,694 is: 3,776,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,414 : 1,753,694 = 1,753,694 : x
  2. Step 2: Convert to fraction form
    814,414/1,753,694 = 1,753,694/x
  3. Step 3: Cross multiply
    814,414x = 1,753,694 × 1,753,694
  4. Step 4: Simplify right side
    814,414x = 3,075,442,645,636
  5. Step 5: Solve for x
    x = 3,075,442,645,636/814,414
  6. Step 6: Final answer
    x = 3,776,264.46

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