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Finding the Third Proportional to 641,986 and 1,518,224

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Solution

The third proportional to 641,986 and 1,518,224 is: 3,590,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,986 : 1,518,224 = 1,518,224 : x
  2. Step 2: Convert to fraction form
    641,986/1,518,224 = 1,518,224/x
  3. Step 3: Cross multiply
    641,986x = 1,518,224 × 1,518,224
  4. Step 4: Simplify right side
    641,986x = 2,305,004,114,176
  5. Step 5: Solve for x
    x = 2,305,004,114,176/641,986
  6. Step 6: Final answer
    x = 3,590,427.38

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.