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Finding the Third Proportional to 766,676 and 1,202,757

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Solution

The third proportional to 766,676 and 1,202,757 is: 1,886,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,676 : 1,202,757 = 1,202,757 : x
  2. Step 2: Convert to fraction form
    766,676/1,202,757 = 1,202,757/x
  3. Step 3: Cross multiply
    766,676x = 1,202,757 × 1,202,757
  4. Step 4: Simplify right side
    766,676x = 1,446,624,401,049
  5. Step 5: Solve for x
    x = 1,446,624,401,049/766,676
  6. Step 6: Final answer
    x = 1,886,878.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.