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Finding the Third Proportional to 449,685 and 963,126

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Solution

The third proportional to 449,685 and 963,126 is: 2,062,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,685 : 963,126 = 963,126 : x
  2. Step 2: Convert to fraction form
    449,685/963,126 = 963,126/x
  3. Step 3: Cross multiply
    449,685x = 963,126 × 963,126
  4. Step 4: Simplify right side
    449,685x = 927,611,691,876
  5. Step 5: Solve for x
    x = 927,611,691,876/449,685
  6. Step 6: Final answer
    x = 2,062,803.28

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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.