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Finding the Third Proportional to 667,974 and 1,401,558

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Solution

The third proportional to 667,974 and 1,401,558 is: 2,940,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,974 : 1,401,558 = 1,401,558 : x
  2. Step 2: Convert to fraction form
    667,974/1,401,558 = 1,401,558/x
  3. Step 3: Cross multiply
    667,974x = 1,401,558 × 1,401,558
  4. Step 4: Simplify right side
    667,974x = 1,964,364,827,364
  5. Step 5: Solve for x
    x = 1,964,364,827,364/667,974
  6. Step 6: Final answer
    x = 2,940,780.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.