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Finding the Third Proportional to 965,811 and 1,311,700

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Solution

The third proportional to 965,811 and 1,311,700 is: 1,781,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,811 : 1,311,700 = 1,311,700 : x
  2. Step 2: Convert to fraction form
    965,811/1,311,700 = 1,311,700/x
  3. Step 3: Cross multiply
    965,811x = 1,311,700 × 1,311,700
  4. Step 4: Simplify right side
    965,811x = 1,720,556,890,000
  5. Step 5: Solve for x
    x = 1,720,556,890,000/965,811
  6. Step 6: Final answer
    x = 1,781,463.34

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.