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Finding the Third Proportional to 449,440 and 962,849

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Solution

The third proportional to 449,440 and 962,849 is: 2,062,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,440 : 962,849 = 962,849 : x
  2. Step 2: Convert to fraction form
    449,440/962,849 = 962,849/x
  3. Step 3: Cross multiply
    449,440x = 962,849 × 962,849
  4. Step 4: Simplify right side
    449,440x = 927,078,196,801
  5. Step 5: Solve for x
    x = 927,078,196,801/449,440
  6. Step 6: Final answer
    x = 2,062,740.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.