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Finding the Third Proportional to 757,401 and 1,659,651

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Solution

The third proportional to 757,401 and 1,659,651 is: 3,636,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,401 : 1,659,651 = 1,659,651 : x
  2. Step 2: Convert to fraction form
    757,401/1,659,651 = 1,659,651/x
  3. Step 3: Cross multiply
    757,401x = 1,659,651 × 1,659,651
  4. Step 4: Simplify right side
    757,401x = 2,754,441,441,801
  5. Step 5: Solve for x
    x = 2,754,441,441,801/757,401
  6. Step 6: Final answer
    x = 3,636,701.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.