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Finding the Third Proportional to 449,698 and 963,152

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Solution

The third proportional to 449,698 and 963,152 is: 2,062,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,698 : 963,152 = 963,152 : x
  2. Step 2: Convert to fraction form
    449,698/963,152 = 963,152/x
  3. Step 3: Cross multiply
    449,698x = 963,152 × 963,152
  4. Step 4: Simplify right side
    449,698x = 927,661,775,104
  5. Step 5: Solve for x
    x = 927,661,775,104/449,698
  6. Step 6: Final answer
    x = 2,062,855.02

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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.