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Finding the Third Proportional to 959,634 and 1,434,165

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Solution

The third proportional to 959,634 and 1,434,165 is: 2,143,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,634 : 1,434,165 = 1,434,165 : x
  2. Step 2: Convert to fraction form
    959,634/1,434,165 = 1,434,165/x
  3. Step 3: Cross multiply
    959,634x = 1,434,165 × 1,434,165
  4. Step 4: Simplify right side
    959,634x = 2,056,829,247,225
  5. Step 5: Solve for x
    x = 2,056,829,247,225/959,634
  6. Step 6: Final answer
    x = 2,143,347.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.