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Finding the Third Proportional to 449,616 and 963,004

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Solution

The third proportional to 449,616 and 963,004 is: 2,062,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,616 : 963,004 = 963,004 : x
  2. Step 2: Convert to fraction form
    449,616/963,004 = 963,004/x
  3. Step 3: Cross multiply
    449,616x = 963,004 × 963,004
  4. Step 4: Simplify right side
    449,616x = 927,376,704,016
  5. Step 5: Solve for x
    x = 927,376,704,016/449,616
  6. Step 6: Final answer
    x = 2,062,597.20

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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.