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Finding the Third Proportional to 1,383,588 and 1,767,906

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Solution

The third proportional to 1,383,588 and 1,767,906 is: 2,258,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,588 : 1,767,906 = 1,767,906 : x
  2. Step 2: Convert to fraction form
    1,383,588/1,767,906 = 1,767,906/x
  3. Step 3: Cross multiply
    1,383,588x = 1,767,906 × 1,767,906
  4. Step 4: Simplify right side
    1,383,588x = 3,125,491,624,836
  5. Step 5: Solve for x
    x = 3,125,491,624,836/1,383,588
  6. Step 6: Final answer
    x = 2,258,975.67

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.