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Finding the Third Proportional to 464,268 and 1,004,568

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Solution

The third proportional to 464,268 and 1,004,568 is: 2,173,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,268 : 1,004,568 = 1,004,568 : x
  2. Step 2: Convert to fraction form
    464,268/1,004,568 = 1,004,568/x
  3. Step 3: Cross multiply
    464,268x = 1,004,568 × 1,004,568
  4. Step 4: Simplify right side
    464,268x = 1,009,156,866,624
  5. Step 5: Solve for x
    x = 1,009,156,866,624/464,268
  6. Step 6: Final answer
    x = 2,173,651.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.