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Finding the Third Proportional to 668,022 and 1,401,690

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Solution

The third proportional to 668,022 and 1,401,690 is: 2,941,122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,022 : 1,401,690 = 1,401,690 : x
  2. Step 2: Convert to fraction form
    668,022/1,401,690 = 1,401,690/x
  3. Step 3: Cross multiply
    668,022x = 1,401,690 × 1,401,690
  4. Step 4: Simplify right side
    668,022x = 1,964,734,856,100
  5. Step 5: Solve for x
    x = 1,964,734,856,100/668,022
  6. Step 6: Final answer
    x = 2,941,122.98

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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.