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Finding the Third Proportional to 496,094 and 1,051,799

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Solution

The third proportional to 496,094 and 1,051,799 is: 2,229,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,094 : 1,051,799 = 1,051,799 : x
  2. Step 2: Convert to fraction form
    496,094/1,051,799 = 1,051,799/x
  3. Step 3: Cross multiply
    496,094x = 1,051,799 × 1,051,799
  4. Step 4: Simplify right side
    496,094x = 1,106,281,136,401
  5. Step 5: Solve for x
    x = 1,106,281,136,401/496,094
  6. Step 6: Final answer
    x = 2,229,982.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.