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Finding the Third Proportional to 777,542 and 1,217,100

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Solution

The third proportional to 777,542 and 1,217,100 is: 1,905,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,542 : 1,217,100 = 1,217,100 : x
  2. Step 2: Convert to fraction form
    777,542/1,217,100 = 1,217,100/x
  3. Step 3: Cross multiply
    777,542x = 1,217,100 × 1,217,100
  4. Step 4: Simplify right side
    777,542x = 1,481,332,410,000
  5. Step 5: Solve for x
    x = 1,481,332,410,000/777,542
  6. Step 6: Final answer
    x = 1,905,147.77

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.