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Finding the Third Proportional to 449,576 and 963,124

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Solution

The third proportional to 449,576 and 963,124 is: 2,063,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,576 : 963,124 = 963,124 : x
  2. Step 2: Convert to fraction form
    449,576/963,124 = 963,124/x
  3. Step 3: Cross multiply
    449,576x = 963,124 × 963,124
  4. Step 4: Simplify right side
    449,576x = 927,607,839,376
  5. Step 5: Solve for x
    x = 927,607,839,376/449,576
  6. Step 6: Final answer
    x = 2,063,294.84

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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.