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Finding the Third Proportional to 1,289,256 and 2,684,463

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Solution

The third proportional to 1,289,256 and 2,684,463 is: 5,589,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,256 : 2,684,463 = 2,684,463 : x
  2. Step 2: Convert to fraction form
    1,289,256/2,684,463 = 2,684,463/x
  3. Step 3: Cross multiply
    1,289,256x = 2,684,463 × 2,684,463
  4. Step 4: Simplify right side
    1,289,256x = 7,206,341,598,369
  5. Step 5: Solve for x
    x = 7,206,341,598,369/1,289,256
  6. Step 6: Final answer
    x = 5,589,535.05

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.