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Finding the Third Proportional to 449,706.09 and 966,115.69

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Solution

The third proportional to 449,706.09 and 966,115.69 is: 2,075,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,706.09 : 966,115.69 = 966,115.69 : x
  2. Step 2: Convert to fraction form
    449,706.09/966,115.69 = 966,115.69/x
  3. Step 3: Cross multiply
    449,706.09x = 966,115.69 × 966,115.69
  4. Step 4: Simplify right side
    449,706.09x = 933,379,521,633.60
  5. Step 5: Solve for x
    x = 933,379,521,633.60/449,706.09
  6. Step 6: Final answer
    x = 2,075,532.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.