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Finding the Third Proportional to 665,930 and 1,438,266

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Solution

The third proportional to 665,930 and 1,438,266 is: 3,106,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,930 : 1,438,266 = 1,438,266 : x
  2. Step 2: Convert to fraction form
    665,930/1,438,266 = 1,438,266/x
  3. Step 3: Cross multiply
    665,930x = 1,438,266 × 1,438,266
  4. Step 4: Simplify right side
    665,930x = 2,068,609,086,756
  5. Step 5: Solve for x
    x = 2,068,609,086,756/665,930
  6. Step 6: Final answer
    x = 3,106,346.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.