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Finding the Third Proportional to 769,494 and 1,149,931

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Solution

The third proportional to 769,494 and 1,149,931 is: 1,718,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,494 : 1,149,931 = 1,149,931 : x
  2. Step 2: Convert to fraction form
    769,494/1,149,931 = 1,149,931/x
  3. Step 3: Cross multiply
    769,494x = 1,149,931 × 1,149,931
  4. Step 4: Simplify right side
    769,494x = 1,322,341,304,761
  5. Step 5: Solve for x
    x = 1,322,341,304,761/769,494
  6. Step 6: Final answer
    x = 1,718,455.64

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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.