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Finding the Third Proportional to 869,265 and 1,329,734

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Solution

The third proportional to 869,265 and 1,329,734 is: 2,034,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,265 : 1,329,734 = 1,329,734 : x
  2. Step 2: Convert to fraction form
    869,265/1,329,734 = 1,329,734/x
  3. Step 3: Cross multiply
    869,265x = 1,329,734 × 1,329,734
  4. Step 4: Simplify right side
    869,265x = 1,768,192,510,756
  5. Step 5: Solve for x
    x = 1,768,192,510,756/869,265
  6. Step 6: Final answer
    x = 2,034,123.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.