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Finding the Third Proportional to 830,993 and 1,819,234

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Solution

The third proportional to 830,993 and 1,819,234 is: 3,982,719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,993 : 1,819,234 = 1,819,234 : x
  2. Step 2: Convert to fraction form
    830,993/1,819,234 = 1,819,234/x
  3. Step 3: Cross multiply
    830,993x = 1,819,234 × 1,819,234
  4. Step 4: Simplify right side
    830,993x = 3,309,612,346,756
  5. Step 5: Solve for x
    x = 3,309,612,346,756/830,993
  6. Step 6: Final answer
    x = 3,982,719.89

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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.