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Finding the Third Proportional to 1,365,969 and 2,004,667

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Solution

The third proportional to 1,365,969 and 2,004,667 is: 2,942,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,969 : 2,004,667 = 2,004,667 : x
  2. Step 2: Convert to fraction form
    1,365,969/2,004,667 = 2,004,667/x
  3. Step 3: Cross multiply
    1,365,969x = 2,004,667 × 2,004,667
  4. Step 4: Simplify right side
    1,365,969x = 4,018,689,780,889
  5. Step 5: Solve for x
    x = 4,018,689,780,889/1,365,969
  6. Step 6: Final answer
    x = 2,942,006.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.