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Finding the Third Proportional to 449,620 and 963,012

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Solution

The third proportional to 449,620 and 963,012 is: 2,062,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,620 : 963,012 = 963,012 : x
  2. Step 2: Convert to fraction form
    449,620/963,012 = 963,012/x
  3. Step 3: Cross multiply
    449,620x = 963,012 × 963,012
  4. Step 4: Simplify right side
    449,620x = 927,392,112,144
  5. Step 5: Solve for x
    x = 927,392,112,144/449,620
  6. Step 6: Final answer
    x = 2,062,613.12

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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.