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Finding the Third Proportional to 490,401 and 1,050,786

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Solution

The third proportional to 490,401 and 1,050,786 is: 2,251,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,401 : 1,050,786 = 1,050,786 : x
  2. Step 2: Convert to fraction form
    490,401/1,050,786 = 1,050,786/x
  3. Step 3: Cross multiply
    490,401x = 1,050,786 × 1,050,786
  4. Step 4: Simplify right side
    490,401x = 1,104,151,217,796
  5. Step 5: Solve for x
    x = 1,104,151,217,796/490,401
  6. Step 6: Final answer
    x = 2,251,527.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.