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Finding the Third Proportional to 409,407 and 881,022

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Solution

The third proportional to 409,407 and 881,022 is: 1,895,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,407 : 881,022 = 881,022 : x
  2. Step 2: Convert to fraction form
    409,407/881,022 = 881,022/x
  3. Step 3: Cross multiply
    409,407x = 881,022 × 881,022
  4. Step 4: Simplify right side
    409,407x = 776,199,764,484
  5. Step 5: Solve for x
    x = 776,199,764,484/409,407
  6. Step 6: Final answer
    x = 1,895,912.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.