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Finding the Third Proportional to 783,626 and 1,163,919

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Solution

The third proportional to 783,626 and 1,163,919 is: 1,728,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,626 : 1,163,919 = 1,163,919 : x
  2. Step 2: Convert to fraction form
    783,626/1,163,919 = 1,163,919/x
  3. Step 3: Cross multiply
    783,626x = 1,163,919 × 1,163,919
  4. Step 4: Simplify right side
    783,626x = 1,354,707,438,561
  5. Step 5: Solve for x
    x = 1,354,707,438,561/783,626
  6. Step 6: Final answer
    x = 1,728,767.85

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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.