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Finding the Third Proportional to 866,394 and 1,900,182

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Solution

The third proportional to 866,394 and 1,900,182 is: 4,167,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,394 : 1,900,182 = 1,900,182 : x
  2. Step 2: Convert to fraction form
    866,394/1,900,182 = 1,900,182/x
  3. Step 3: Cross multiply
    866,394x = 1,900,182 × 1,900,182
  4. Step 4: Simplify right side
    866,394x = 3,610,691,633,124
  5. Step 5: Solve for x
    x = 3,610,691,633,124/866,394
  6. Step 6: Final answer
    x = 4,167,493.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.