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Finding the Third Proportional to 634,394 and 1,394,964

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Solution

The third proportional to 634,394 and 1,394,964 is: 3,067,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,394 : 1,394,964 = 1,394,964 : x
  2. Step 2: Convert to fraction form
    634,394/1,394,964 = 1,394,964/x
  3. Step 3: Cross multiply
    634,394x = 1,394,964 × 1,394,964
  4. Step 4: Simplify right side
    634,394x = 1,945,924,561,296
  5. Step 5: Solve for x
    x = 1,945,924,561,296/634,394
  6. Step 6: Final answer
    x = 3,067,375.42

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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.