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Finding the Third Proportional to 869,207 and 1,383,081

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Solution

The third proportional to 869,207 and 1,383,081 is: 2,200,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,207 : 1,383,081 = 1,383,081 : x
  2. Step 2: Convert to fraction form
    869,207/1,383,081 = 1,383,081/x
  3. Step 3: Cross multiply
    869,207x = 1,383,081 × 1,383,081
  4. Step 4: Simplify right side
    869,207x = 1,912,913,052,561
  5. Step 5: Solve for x
    x = 1,912,913,052,561/869,207
  6. Step 6: Final answer
    x = 2,200,756.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.