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Finding the Third Proportional to 491,443 and 1,051,199

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Solution

The third proportional to 491,443 and 1,051,199 is: 2,248,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,443 : 1,051,199 = 1,051,199 : x
  2. Step 2: Convert to fraction form
    491,443/1,051,199 = 1,051,199/x
  3. Step 3: Cross multiply
    491,443x = 1,051,199 × 1,051,199
  4. Step 4: Simplify right side
    491,443x = 1,105,019,337,601
  5. Step 5: Solve for x
    x = 1,105,019,337,601/491,443
  6. Step 6: Final answer
    x = 2,248,519.84

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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.