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Finding the Third Proportional to 449,570 and 963,105

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Solution

The third proportional to 449,570 and 963,105 is: 2,063,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,570 : 963,105 = 963,105 : x
  2. Step 2: Convert to fraction form
    449,570/963,105 = 963,105/x
  3. Step 3: Cross multiply
    449,570x = 963,105 × 963,105
  4. Step 4: Simplify right side
    449,570x = 927,571,241,025
  5. Step 5: Solve for x
    x = 927,571,241,025/449,570
  6. Step 6: Final answer
    x = 2,063,240.97

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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.