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Finding the Third Proportional to 769,484 and 1,149,921

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Solution

The third proportional to 769,484 and 1,149,921 is: 1,718,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,484 : 1,149,921 = 1,149,921 : x
  2. Step 2: Convert to fraction form
    769,484/1,149,921 = 1,149,921/x
  3. Step 3: Cross multiply
    769,484x = 1,149,921 × 1,149,921
  4. Step 4: Simplify right side
    769,484x = 1,322,318,306,241
  5. Step 5: Solve for x
    x = 1,322,318,306,241/769,484
  6. Step 6: Final answer
    x = 1,718,448.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.