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Finding the Third Proportional to 667,104 and 1,543,056

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Solution

The third proportional to 667,104 and 1,543,056 is: 3,569,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,104 : 1,543,056 = 1,543,056 : x
  2. Step 2: Convert to fraction form
    667,104/1,543,056 = 1,543,056/x
  3. Step 3: Cross multiply
    667,104x = 1,543,056 × 1,543,056
  4. Step 4: Simplify right side
    667,104x = 2,381,021,819,136
  5. Step 5: Solve for x
    x = 2,381,021,819,136/667,104
  6. Step 6: Final answer
    x = 3,569,191.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.