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Finding the Third Proportional to 665,841 and 1,467,413

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Solution

The third proportional to 665,841 and 1,467,413 is: 3,233,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,841 : 1,467,413 = 1,467,413 : x
  2. Step 2: Convert to fraction form
    665,841/1,467,413 = 1,467,413/x
  3. Step 3: Cross multiply
    665,841x = 1,467,413 × 1,467,413
  4. Step 4: Simplify right side
    665,841x = 2,153,300,912,569
  5. Step 5: Solve for x
    x = 2,153,300,912,569/665,841
  6. Step 6: Final answer
    x = 3,233,956.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.