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Finding the Third Proportional to 376,020 and 826,452

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Solution

The third proportional to 376,020 and 826,452 is: 1,816,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,020 : 826,452 = 826,452 : x
  2. Step 2: Convert to fraction form
    376,020/826,452 = 826,452/x
  3. Step 3: Cross multiply
    376,020x = 826,452 × 826,452
  4. Step 4: Simplify right side
    376,020x = 683,022,908,304
  5. Step 5: Solve for x
    x = 683,022,908,304/376,020
  6. Step 6: Final answer
    x = 1,816,453.67

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Why These Related Problems?

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