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Finding the Third Proportional to 783,624 and 1,163,916

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Solution

The third proportional to 783,624 and 1,163,916 is: 1,728,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,624 : 1,163,916 = 1,163,916 : x
  2. Step 2: Convert to fraction form
    783,624/1,163,916 = 1,163,916/x
  3. Step 3: Cross multiply
    783,624x = 1,163,916 × 1,163,916
  4. Step 4: Simplify right side
    783,624x = 1,354,700,455,056
  5. Step 5: Solve for x
    x = 1,354,700,455,056/783,624
  6. Step 6: Final answer
    x = 1,728,763.35

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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.