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Finding the Third Proportional to 886,293 and 1,329,105

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Solution

The third proportional to 886,293 and 1,329,105 is: 1,993,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,293 : 1,329,105 = 1,329,105 : x
  2. Step 2: Convert to fraction form
    886,293/1,329,105 = 1,329,105/x
  3. Step 3: Cross multiply
    886,293x = 1,329,105 × 1,329,105
  4. Step 4: Simplify right side
    886,293x = 1,766,520,101,025
  5. Step 5: Solve for x
    x = 1,766,520,101,025/886,293
  6. Step 6: Final answer
    x = 1,993,155.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.