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Finding the Third Proportional to 1,365,970 and 2,004,668

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Solution

The third proportional to 1,365,970 and 2,004,668 is: 2,942,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,970 : 2,004,668 = 2,004,668 : x
  2. Step 2: Convert to fraction form
    1,365,970/2,004,668 = 2,004,668/x
  3. Step 3: Cross multiply
    1,365,970x = 2,004,668 × 2,004,668
  4. Step 4: Simplify right side
    1,365,970x = 4,018,693,790,224
  5. Step 5: Solve for x
    x = 4,018,693,790,224/1,365,970
  6. Step 6: Final answer
    x = 2,942,007.36

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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.