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Finding the Third Proportional to 820,326 and 1,283,919

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Solution

The third proportional to 820,326 and 1,283,919 is: 2,009,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,326 : 1,283,919 = 1,283,919 : x
  2. Step 2: Convert to fraction form
    820,326/1,283,919 = 1,283,919/x
  3. Step 3: Cross multiply
    820,326x = 1,283,919 × 1,283,919
  4. Step 4: Simplify right side
    820,326x = 1,648,447,998,561
  5. Step 5: Solve for x
    x = 1,648,447,998,561/820,326
  6. Step 6: Final answer
    x = 2,009,503.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.