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Finding the Third Proportional to 499,954 and 1,099,964

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Solution

The third proportional to 499,954 and 1,099,964 is: 2,420,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,954 : 1,099,964 = 1,099,964 : x
  2. Step 2: Convert to fraction form
    499,954/1,099,964 = 1,099,964/x
  3. Step 3: Cross multiply
    499,954x = 1,099,964 × 1,099,964
  4. Step 4: Simplify right side
    499,954x = 1,209,920,801,296
  5. Step 5: Solve for x
    x = 1,209,920,801,296/499,954
  6. Step 6: Final answer
    x = 2,420,064.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.