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Finding the Third Proportional to 814,388 and 1,773,351

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Solution

The third proportional to 814,388 and 1,773,351 is: 3,861,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,388 : 1,773,351 = 1,773,351 : x
  2. Step 2: Convert to fraction form
    814,388/1,773,351 = 1,773,351/x
  3. Step 3: Cross multiply
    814,388x = 1,773,351 × 1,773,351
  4. Step 4: Simplify right side
    814,388x = 3,144,773,769,201
  5. Step 5: Solve for x
    x = 3,144,773,769,201/814,388
  6. Step 6: Final answer
    x = 3,861,517.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.