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Finding the Third Proportional to 789,816 and 1,225,200

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Solution

The third proportional to 789,816 and 1,225,200 is: 1,900,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,816 : 1,225,200 = 1,225,200 : x
  2. Step 2: Convert to fraction form
    789,816/1,225,200 = 1,225,200/x
  3. Step 3: Cross multiply
    789,816x = 1,225,200 × 1,225,200
  4. Step 4: Simplify right side
    789,816x = 1,501,115,040,000
  5. Step 5: Solve for x
    x = 1,501,115,040,000/789,816
  6. Step 6: Final answer
    x = 1,900,588.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.