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Finding the Third Proportional to 966,737 and 1,449,435

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Solution

The third proportional to 966,737 and 1,449,435 is: 2,173,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,737 : 1,449,435 = 1,449,435 : x
  2. Step 2: Convert to fraction form
    966,737/1,449,435 = 1,449,435/x
  3. Step 3: Cross multiply
    966,737x = 1,449,435 × 1,449,435
  4. Step 4: Simplify right side
    966,737x = 2,100,861,819,225
  5. Step 5: Solve for x
    x = 2,100,861,819,225/966,737
  6. Step 6: Final answer
    x = 2,173,147.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.