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Finding the Third Proportional to 964,242 and 1,493,019

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Solution

The third proportional to 964,242 and 1,493,019 is: 2,311,770.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,242 : 1,493,019 = 1,493,019 : x
  2. Step 2: Convert to fraction form
    964,242/1,493,019 = 1,493,019/x
  3. Step 3: Cross multiply
    964,242x = 1,493,019 × 1,493,019
  4. Step 4: Simplify right side
    964,242x = 2,229,105,734,361
  5. Step 5: Solve for x
    x = 2,229,105,734,361/964,242
  6. Step 6: Final answer
    x = 2,311,770.01

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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.