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Finding the Third Proportional to 663,568 and 1,451,322

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Solution

The third proportional to 663,568 and 1,451,322 is: 3,174,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,568 : 1,451,322 = 1,451,322 : x
  2. Step 2: Convert to fraction form
    663,568/1,451,322 = 1,451,322/x
  3. Step 3: Cross multiply
    663,568x = 1,451,322 × 1,451,322
  4. Step 4: Simplify right side
    663,568x = 2,106,335,547,684
  5. Step 5: Solve for x
    x = 2,106,335,547,684/663,568
  6. Step 6: Final answer
    x = 3,174,257.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.