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Finding the Third Proportional to 608,823 and 969,616.50

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Solution

The third proportional to 608,823 and 969,616.50 is: 1,544,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,823 : 969,616.50 = 969,616.50 : x
  2. Step 2: Convert to fraction form
    608,823/969,616.50 = 969,616.50/x
  3. Step 3: Cross multiply
    608,823x = 969,616.50 × 969,616.50
  4. Step 4: Simplify right side
    608,823x = 940,156,157,072.25
  5. Step 5: Solve for x
    x = 940,156,157,072.25/608,823
  6. Step 6: Final answer
    x = 1,544,219.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.