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Finding the Third Proportional to 409,922 and 900,550

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Solution

The third proportional to 409,922 and 900,550 is: 1,978,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,922 : 900,550 = 900,550 : x
  2. Step 2: Convert to fraction form
    409,922/900,550 = 900,550/x
  3. Step 3: Cross multiply
    409,922x = 900,550 × 900,550
  4. Step 4: Simplify right side
    409,922x = 810,990,302,500
  5. Step 5: Solve for x
    x = 810,990,302,500/409,922
  6. Step 6: Final answer
    x = 1,978,401.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.